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Finding the Fourth Proportional to 7,658.88, 10,569.12 and 4,301.72

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Solution

The fourth proportional to 7,658.88, 10,569.12 and 4,301.72 is: 5,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.88 : 10,569.12 = 4,301.72 : x
  2. Step 2: Convert to fraction form
    7,658.88/10,569.12 = 4,301.72/x
  3. Step 3: Cross multiply
    7,658.88x = 10,569.12 × 4,301.72
  4. Step 4: Simplify right side
    7,658.88x = 45,465,394.89
  5. Step 5: Solve for x
    x = 45,465,394.89/7,658.88
  6. Step 6: Final answer
    x = 5,936.30

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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.