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Finding the Fourth Proportional to 10,468.99, 14,442.33 and 6,488.65

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Solution

The fourth proportional to 10,468.99, 14,442.33 and 6,488.65 is: 8,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.99 : 14,442.33 = 6,488.65 : x
  2. Step 2: Convert to fraction form
    10,468.99/14,442.33 = 6,488.65/x
  3. Step 3: Cross multiply
    10,468.99x = 14,442.33 × 6,488.65
  4. Step 4: Simplify right side
    10,468.99x = 93,711,224.55
  5. Step 5: Solve for x
    x = 93,711,224.55/10,468.99
  6. Step 6: Final answer
    x = 8,951.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.