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Finding the Fourth Proportional to 8,378.68, 11,553.12 and 5,349.72

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Solution

The fourth proportional to 8,378.68, 11,553.12 and 5,349.72 is: 7,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.68 : 11,553.12 = 5,349.72 : x
  2. Step 2: Convert to fraction form
    8,378.68/11,553.12 = 5,349.72/x
  3. Step 3: Cross multiply
    8,378.68x = 11,553.12 × 5,349.72
  4. Step 4: Simplify right side
    8,378.68x = 61,805,957.13
  5. Step 5: Solve for x
    x = 61,805,957.13/8,378.68
  6. Step 6: Final answer
    x = 7,376.57

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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.