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Finding the Fourth Proportional to 10,468.91, 14,432.15 and 7,483.65

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Solution

The fourth proportional to 10,468.91, 14,432.15 and 7,483.65 is: 10,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.91 : 14,432.15 = 7,483.65 : x
  2. Step 2: Convert to fraction form
    10,468.91/14,432.15 = 7,483.65/x
  3. Step 3: Cross multiply
    10,468.91x = 14,432.15 × 7,483.65
  4. Step 4: Simplify right side
    10,468.91x = 108,005,121.93
  5. Step 5: Solve for x
    x = 108,005,121.93/10,468.91
  6. Step 6: Final answer
    x = 10,316.75

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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.