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Finding the Fourth Proportional to 10,707.60, 16,061.40 and 5,774.70

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Solution

The fourth proportional to 10,707.60, 16,061.40 and 5,774.70 is: 8,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.60 : 16,061.40 = 5,774.70 : x
  2. Step 2: Convert to fraction form
    10,707.60/16,061.40 = 5,774.70/x
  3. Step 3: Cross multiply
    10,707.60x = 16,061.40 × 5,774.70
  4. Step 4: Simplify right side
    10,707.60x = 92,749,766.58
  5. Step 5: Solve for x
    x = 92,749,766.58/10,707.60
  6. Step 6: Final answer
    x = 8,662.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.