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Finding the Fourth Proportional to 10,502.66, 15,759.48 and 6,803.93

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Solution

The fourth proportional to 10,502.66, 15,759.48 and 6,803.93 is: 10,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.66 : 15,759.48 = 6,803.93 : x
  2. Step 2: Convert to fraction form
    10,502.66/15,759.48 = 6,803.93/x
  3. Step 3: Cross multiply
    10,502.66x = 15,759.48 × 6,803.93
  4. Step 4: Simplify right side
    10,502.66x = 107,226,398.76
  5. Step 5: Solve for x
    x = 107,226,398.76/10,502.66
  6. Step 6: Final answer
    x = 10,209.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.