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Finding the Fourth Proportional to 10,487.69, 15,803.24 and 8,678.69

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Solution

The fourth proportional to 10,487.69, 15,803.24 and 8,678.69 is: 13,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.69 : 15,803.24 = 8,678.69 : x
  2. Step 2: Convert to fraction form
    10,487.69/15,803.24 = 8,678.69/x
  3. Step 3: Cross multiply
    10,487.69x = 15,803.24 × 8,678.69
  4. Step 4: Simplify right side
    10,487.69x = 137,151,331.09
  5. Step 5: Solve for x
    x = 137,151,331.09/10,487.69
  6. Step 6: Final answer
    x = 13,077.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.