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Finding the Fourth Proportional to 8,688.50, 12,969.16 and 7,463.78

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Solution

The fourth proportional to 8,688.50, 12,969.16 and 7,463.78 is: 11,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,688.50 : 12,969.16 = 7,463.78 : x
  2. Step 2: Convert to fraction form
    8,688.50/12,969.16 = 7,463.78/x
  3. Step 3: Cross multiply
    8,688.50x = 12,969.16 × 7,463.78
  4. Step 4: Simplify right side
    8,688.50x = 96,798,964.14
  5. Step 5: Solve for x
    x = 96,798,964.14/8,688.50
  6. Step 6: Final answer
    x = 11,141.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.