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Finding the Fourth Proportional to 7,570.62, 11,347.53 and 5,715.72

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Solution

The fourth proportional to 7,570.62, 11,347.53 and 5,715.72 is: 8,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.62 : 11,347.53 = 5,715.72 : x
  2. Step 2: Convert to fraction form
    7,570.62/11,347.53 = 5,715.72/x
  3. Step 3: Cross multiply
    7,570.62x = 11,347.53 × 5,715.72
  4. Step 4: Simplify right side
    7,570.62x = 64,859,304.17
  5. Step 5: Solve for x
    x = 64,859,304.17/7,570.62
  6. Step 6: Final answer
    x = 8,567.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.