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Finding the Fourth Proportional to 7,713.60, 10,645.14 and 4,356.96

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Solution

The fourth proportional to 7,713.60, 10,645.14 and 4,356.96 is: 6,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.60 : 10,645.14 = 4,356.96 : x
  2. Step 2: Convert to fraction form
    7,713.60/10,645.14 = 4,356.96/x
  3. Step 3: Cross multiply
    7,713.60x = 10,645.14 × 4,356.96
  4. Step 4: Simplify right side
    7,713.60x = 46,380,449.17
  5. Step 5: Solve for x
    x = 46,380,449.17/7,713.60
  6. Step 6: Final answer
    x = 6,012.81

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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.