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Finding the Fourth Proportional to 4,432.59, 6,663.47 and 4,111.83

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Solution

The fourth proportional to 4,432.59, 6,663.47 and 4,111.83 is: 6,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.59 : 6,663.47 = 4,111.83 : x
  2. Step 2: Convert to fraction form
    4,432.59/6,663.47 = 4,111.83/x
  3. Step 3: Cross multiply
    4,432.59x = 6,663.47 × 4,111.83
  4. Step 4: Simplify right side
    4,432.59x = 27,399,035.29
  5. Step 5: Solve for x
    x = 27,399,035.29/4,432.59
  6. Step 6: Final answer
    x = 6,181.27

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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.