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Finding the Fourth Proportional to 10,487.32, 15,740.34 and 7,882.36

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Solution

The fourth proportional to 10,487.32, 15,740.34 and 7,882.36 is: 11,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.32 : 15,740.34 = 7,882.36 : x
  2. Step 2: Convert to fraction form
    10,487.32/15,740.34 = 7,882.36/x
  3. Step 3: Cross multiply
    10,487.32x = 15,740.34 × 7,882.36
  4. Step 4: Simplify right side
    10,487.32x = 124,071,026.40
  5. Step 5: Solve for x
    x = 124,071,026.40/10,487.32
  6. Step 6: Final answer
    x = 11,830.58

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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.