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Finding the Fourth Proportional to 7,417.62, 10,233.05 and 4,431.96

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Solution

The fourth proportional to 7,417.62, 10,233.05 and 4,431.96 is: 6,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.62 : 10,233.05 = 4,431.96 : x
  2. Step 2: Convert to fraction form
    7,417.62/10,233.05 = 4,431.96/x
  3. Step 3: Cross multiply
    7,417.62x = 10,233.05 × 4,431.96
  4. Step 4: Simplify right side
    7,417.62x = 45,352,417.11
  5. Step 5: Solve for x
    x = 45,352,417.11/7,417.62
  6. Step 6: Final answer
    x = 6,114.15

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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.