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Finding the Fourth Proportional to 10,774.60, 14,910.42 and 10,515.40

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Solution

The fourth proportional to 10,774.60, 14,910.42 and 10,515.40 is: 14,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.60 : 14,910.42 = 10,515.40 : x
  2. Step 2: Convert to fraction form
    10,774.60/14,910.42 = 10,515.40/x
  3. Step 3: Cross multiply
    10,774.60x = 14,910.42 × 10,515.40
  4. Step 4: Simplify right side
    10,774.60x = 156,789,030.47
  5. Step 5: Solve for x
    x = 156,789,030.47/10,774.60
  6. Step 6: Final answer
    x = 14,551.73

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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.