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Finding the Fourth Proportional to 10,339.68, 15,515 and 7,890.24

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Solution

The fourth proportional to 10,339.68, 15,515 and 7,890.24 is: 11,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.68 : 15,515 = 7,890.24 : x
  2. Step 2: Convert to fraction form
    10,339.68/15,515 = 7,890.24/x
  3. Step 3: Cross multiply
    10,339.68x = 15,515 × 7,890.24
  4. Step 4: Simplify right side
    10,339.68x = 122,417,073.60
  5. Step 5: Solve for x
    x = 122,417,073.60/10,339.68
  6. Step 6: Final answer
    x = 11,839.54

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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.