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Finding the Fourth Proportional to 10,118.88, 13,963.86 and 6,575.40

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Solution

The fourth proportional to 10,118.88, 13,963.86 and 6,575.40 is: 9,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.88 : 13,963.86 = 6,575.40 : x
  2. Step 2: Convert to fraction form
    10,118.88/13,963.86 = 6,575.40/x
  3. Step 3: Cross multiply
    10,118.88x = 13,963.86 × 6,575.40
  4. Step 4: Simplify right side
    10,118.88x = 91,817,965.04
  5. Step 5: Solve for x
    x = 91,817,965.04/10,118.88
  6. Step 6: Final answer
    x = 9,073.93

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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.