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Finding the Fourth Proportional to 10,437.69, 15,645.60 and 6,488.94

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Solution

The fourth proportional to 10,437.69, 15,645.60 and 6,488.94 is: 9,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.69 : 15,645.60 = 6,488.94 : x
  2. Step 2: Convert to fraction form
    10,437.69/15,645.60 = 6,488.94/x
  3. Step 3: Cross multiply
    10,437.69x = 15,645.60 × 6,488.94
  4. Step 4: Simplify right side
    10,437.69x = 101,523,359.66
  5. Step 5: Solve for x
    x = 101,523,359.66/10,437.69
  6. Step 6: Final answer
    x = 9,726.61

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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.