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Finding the Fourth Proportional to 8,257.04, 11,397.32 and 5,572.16

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Solution

The fourth proportional to 8,257.04, 11,397.32 and 5,572.16 is: 7,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.04 : 11,397.32 = 5,572.16 : x
  2. Step 2: Convert to fraction form
    8,257.04/11,397.32 = 5,572.16/x
  3. Step 3: Cross multiply
    8,257.04x = 11,397.32 × 5,572.16
  4. Step 4: Simplify right side
    8,257.04x = 63,507,690.61
  5. Step 5: Solve for x
    x = 63,507,690.61/8,257.04
  6. Step 6: Final answer
    x = 7,691.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.