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Finding the Fourth Proportional to 7,873.35, 10,865.16 and 4,516.17

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Solution

The fourth proportional to 7,873.35, 10,865.16 and 4,516.17 is: 6,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.35 : 10,865.16 = 4,516.17 : x
  2. Step 2: Convert to fraction form
    7,873.35/10,865.16 = 4,516.17/x
  3. Step 3: Cross multiply
    7,873.35x = 10,865.16 × 4,516.17
  4. Step 4: Simplify right side
    7,873.35x = 49,068,909.64
  5. Step 5: Solve for x
    x = 49,068,909.64/7,873.35
  6. Step 6: Final answer
    x = 6,232.28

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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.