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Finding the Fourth Proportional to 10,575.40, 14,601.18 and 9,452.74

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Solution

The fourth proportional to 10,575.40, 14,601.18 and 9,452.74 is: 13,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.40 : 14,601.18 = 9,452.74 : x
  2. Step 2: Convert to fraction form
    10,575.40/14,601.18 = 9,452.74/x
  3. Step 3: Cross multiply
    10,575.40x = 14,601.18 × 9,452.74
  4. Step 4: Simplify right side
    10,575.40x = 138,021,158.23
  5. Step 5: Solve for x
    x = 138,021,158.23/10,575.40
  6. Step 6: Final answer
    x = 13,051.15

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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.