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Finding the Fourth Proportional to 11,781.53, 16,256.54 and 7,808.03

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Solution

The fourth proportional to 11,781.53, 16,256.54 and 7,808.03 is: 10,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.53 : 16,256.54 = 7,808.03 : x
  2. Step 2: Convert to fraction form
    11,781.53/16,256.54 = 7,808.03/x
  3. Step 3: Cross multiply
    11,781.53x = 16,256.54 × 7,808.03
  4. Step 4: Simplify right side
    11,781.53x = 126,931,490.25
  5. Step 5: Solve for x
    x = 126,931,490.25/11,781.53
  6. Step 6: Final answer
    x = 10,773.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.