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Finding the Fourth Proportional to 7,414.64, 10,233.62 and 4,765.40

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Solution

The fourth proportional to 7,414.64, 10,233.62 and 4,765.40 is: 6,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.64 : 10,233.62 = 4,765.40 : x
  2. Step 2: Convert to fraction form
    7,414.64/10,233.62 = 4,765.40/x
  3. Step 3: Cross multiply
    7,414.64x = 10,233.62 × 4,765.40
  4. Step 4: Simplify right side
    7,414.64x = 48,767,292.75
  5. Step 5: Solve for x
    x = 48,767,292.75/7,414.64
  6. Step 6: Final answer
    x = 6,577.16

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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.