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Finding the Fourth Proportional to 7,417.69, 10,233.46 and 4,432.43

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Solution

The fourth proportional to 7,417.69, 10,233.46 and 4,432.43 is: 6,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.69 : 10,233.46 = 4,432.43 : x
  2. Step 2: Convert to fraction form
    7,417.69/10,233.46 = 4,432.43/x
  3. Step 3: Cross multiply
    7,417.69x = 10,233.46 × 4,432.43
  4. Step 4: Simplify right side
    7,417.69x = 45,359,095.11
  5. Step 5: Solve for x
    x = 45,359,095.11/7,417.69
  6. Step 6: Final answer
    x = 6,114.99

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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.