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Finding the Fourth Proportional to 8,463.66, 12,709.95 and 5,507.16

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Solution

The fourth proportional to 8,463.66, 12,709.95 and 5,507.16 is: 8,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.66 : 12,709.95 = 5,507.16 : x
  2. Step 2: Convert to fraction form
    8,463.66/12,709.95 = 5,507.16/x
  3. Step 3: Cross multiply
    8,463.66x = 12,709.95 × 5,507.16
  4. Step 4: Simplify right side
    8,463.66x = 69,995,728.24
  5. Step 5: Solve for x
    x = 69,995,728.24/8,463.66
  6. Step 6: Final answer
    x = 8,270.15

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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.