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Finding the Fourth Proportional to 7,567.72, 10,440.12 and 5,047.42

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Solution

The fourth proportional to 7,567.72, 10,440.12 and 5,047.42 is: 6,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.72 : 10,440.12 = 5,047.42 : x
  2. Step 2: Convert to fraction form
    7,567.72/10,440.12 = 5,047.42/x
  3. Step 3: Cross multiply
    7,567.72x = 10,440.12 × 5,047.42
  4. Step 4: Simplify right side
    7,567.72x = 52,695,670.49
  5. Step 5: Solve for x
    x = 52,695,670.49/7,567.72
  6. Step 6: Final answer
    x = 6,963.22

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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.