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Finding the Fourth Proportional to 10,385.69, 15,553.70 and 5,698.49

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Solution

The fourth proportional to 10,385.69, 15,553.70 and 5,698.49 is: 8,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.69 : 15,553.70 = 5,698.49 : x
  2. Step 2: Convert to fraction form
    10,385.69/15,553.70 = 5,698.49/x
  3. Step 3: Cross multiply
    10,385.69x = 15,553.70 × 5,698.49
  4. Step 4: Simplify right side
    10,385.69x = 88,632,575.42
  5. Step 5: Solve for x
    x = 88,632,575.42/10,385.69
  6. Step 6: Final answer
    x = 8,534.11

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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.