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Finding the Fourth Proportional to 7,873.47, 10,865.68 and 4,516.02

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Solution

The fourth proportional to 7,873.47, 10,865.68 and 4,516.02 is: 6,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.47 : 10,865.68 = 4,516.02 : x
  2. Step 2: Convert to fraction form
    7,873.47/10,865.68 = 4,516.02/x
  3. Step 3: Cross multiply
    7,873.47x = 10,865.68 × 4,516.02
  4. Step 4: Simplify right side
    7,873.47x = 49,069,616.90
  5. Step 5: Solve for x
    x = 49,069,616.90/7,873.47
  6. Step 6: Final answer
    x = 6,232.27

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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.