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Finding the Fourth Proportional to 10,499.92, 14,490.12 and 5,784.46

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Solution

The fourth proportional to 10,499.92, 14,490.12 and 5,784.46 is: 7,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.92 : 14,490.12 = 5,784.46 : x
  2. Step 2: Convert to fraction form
    10,499.92/14,490.12 = 5,784.46/x
  3. Step 3: Cross multiply
    10,499.92x = 14,490.12 × 5,784.46
  4. Step 4: Simplify right side
    10,499.92x = 83,817,519.54
  5. Step 5: Solve for x
    x = 83,817,519.54/10,499.92
  6. Step 6: Final answer
    x = 7,982.68

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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.