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Finding the Fourth Proportional to 10,488.69, 15,728.38 and 5,557.14

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Solution

The fourth proportional to 10,488.69, 15,728.38 and 5,557.14 is: 8,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.69 : 15,728.38 = 5,557.14 : x
  2. Step 2: Convert to fraction form
    10,488.69/15,728.38 = 5,557.14/x
  3. Step 3: Cross multiply
    10,488.69x = 15,728.38 × 5,557.14
  4. Step 4: Simplify right side
    10,488.69x = 87,404,795.74
  5. Step 5: Solve for x
    x = 87,404,795.74/10,488.69
  6. Step 6: Final answer
    x = 8,333.24

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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.