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Finding the Fourth Proportional to 8,422.12, 11,614.98 and 6,534.28

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Solution

The fourth proportional to 8,422.12, 11,614.98 and 6,534.28 is: 9,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.12 : 11,614.98 = 6,534.28 : x
  2. Step 2: Convert to fraction form
    8,422.12/11,614.98 = 6,534.28/x
  3. Step 3: Cross multiply
    8,422.12x = 11,614.98 × 6,534.28
  4. Step 4: Simplify right side
    8,422.12x = 75,895,531.51
  5. Step 5: Solve for x
    x = 75,895,531.51/8,422.12
  6. Step 6: Final answer
    x = 9,011.45

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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.