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Finding the Fourth Proportional to 7,151.96, 10,725.31 and 2,470.77

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Solution

The fourth proportional to 7,151.96, 10,725.31 and 2,470.77 is: 3,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.96 : 10,725.31 = 2,470.77 : x
  2. Step 2: Convert to fraction form
    7,151.96/10,725.31 = 2,470.77/x
  3. Step 3: Cross multiply
    7,151.96x = 10,725.31 × 2,470.77
  4. Step 4: Simplify right side
    7,151.96x = 26,499,774.19
  5. Step 5: Solve for x
    x = 26,499,774.19/7,151.96
  6. Step 6: Final answer
    x = 3,705.25

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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.