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Finding the Fourth Proportional to 10,126.64, 13,967.22 and 7,437.02

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Solution

The fourth proportional to 10,126.64, 13,967.22 and 7,437.02 is: 10,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.64 : 13,967.22 = 7,437.02 : x
  2. Step 2: Convert to fraction form
    10,126.64/13,967.22 = 7,437.02/x
  3. Step 3: Cross multiply
    10,126.64x = 13,967.22 × 7,437.02
  4. Step 4: Simplify right side
    10,126.64x = 103,874,494.48
  5. Step 5: Solve for x
    x = 103,874,494.48/10,126.64
  6. Step 6: Final answer
    x = 10,257.55

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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.