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Finding the Fourth Proportional to 7,713.60, 10,643.28 and 4,570.40

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Solution

The fourth proportional to 7,713.60, 10,643.28 and 4,570.40 is: 6,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.60 : 10,643.28 = 4,570.40 : x
  2. Step 2: Convert to fraction form
    7,713.60/10,643.28 = 4,570.40/x
  3. Step 3: Cross multiply
    7,713.60x = 10,643.28 × 4,570.40
  4. Step 4: Simplify right side
    7,713.60x = 48,644,046.91
  5. Step 5: Solve for x
    x = 48,644,046.91/7,713.60
  6. Step 6: Final answer
    x = 6,306.27

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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.