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Finding the Fourth Proportional to 8,386.16, 12,583.85 and 5,101.56

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Solution

The fourth proportional to 8,386.16, 12,583.85 and 5,101.56 is: 7,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.16 : 12,583.85 = 5,101.56 : x
  2. Step 2: Convert to fraction form
    8,386.16/12,583.85 = 5,101.56/x
  3. Step 3: Cross multiply
    8,386.16x = 12,583.85 × 5,101.56
  4. Step 4: Simplify right side
    8,386.16x = 64,197,240.30
  5. Step 5: Solve for x
    x = 64,197,240.30/8,386.16
  6. Step 6: Final answer
    x = 7,655.15

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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.