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Finding the Fourth Proportional to 8,610.66, 12,895.47 and 5,313.74

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Solution

The fourth proportional to 8,610.66, 12,895.47 and 5,313.74 is: 7,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.66 : 12,895.47 = 5,313.74 : x
  2. Step 2: Convert to fraction form
    8,610.66/12,895.47 = 5,313.74/x
  3. Step 3: Cross multiply
    8,610.66x = 12,895.47 × 5,313.74
  4. Step 4: Simplify right side
    8,610.66x = 68,523,110.28
  5. Step 5: Solve for x
    x = 68,523,110.28/8,610.66
  6. Step 6: Final answer
    x = 7,957.94

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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.