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Finding the Fourth Proportional to 10,291.68, 15,423.65 and 7,505.31

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Solution

The fourth proportional to 10,291.68, 15,423.65 and 7,505.31 is: 11,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.68 : 15,423.65 = 7,505.31 : x
  2. Step 2: Convert to fraction form
    10,291.68/15,423.65 = 7,505.31/x
  3. Step 3: Cross multiply
    10,291.68x = 15,423.65 × 7,505.31
  4. Step 4: Simplify right side
    10,291.68x = 115,759,274.58
  5. Step 5: Solve for x
    x = 115,759,274.58/10,291.68
  6. Step 6: Final answer
    x = 11,247.85

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