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Finding the Fourth Proportional to 10,575.97, 14,598.50 and 6,101.53

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Solution

The fourth proportional to 10,575.97, 14,598.50 and 6,101.53 is: 8,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.97 : 14,598.50 = 6,101.53 : x
  2. Step 2: Convert to fraction form
    10,575.97/14,598.50 = 6,101.53/x
  3. Step 3: Cross multiply
    10,575.97x = 14,598.50 × 6,101.53
  4. Step 4: Simplify right side
    10,575.97x = 89,073,118.70
  5. Step 5: Solve for x
    x = 89,073,118.70/10,575.97
  6. Step 6: Final answer
    x = 8,422.22

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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.