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Finding the Fourth Proportional to 8,471.65, 11,689.90 and 4,693.87

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Solution

The fourth proportional to 8,471.65, 11,689.90 and 4,693.87 is: 6,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.65 : 11,689.90 = 4,693.87 : x
  2. Step 2: Convert to fraction form
    8,471.65/11,689.90 = 4,693.87/x
  3. Step 3: Cross multiply
    8,471.65x = 11,689.90 × 4,693.87
  4. Step 4: Simplify right side
    8,471.65x = 54,870,870.91
  5. Step 5: Solve for x
    x = 54,870,870.91/8,471.65
  6. Step 6: Final answer
    x = 6,477.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.