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Finding the Fourth Proportional to 6,480.65, 8,957.10 and 5,712.77

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Solution

The fourth proportional to 6,480.65, 8,957.10 and 5,712.77 is: 7,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.65 : 8,957.10 = 5,712.77 : x
  2. Step 2: Convert to fraction form
    6,480.65/8,957.10 = 5,712.77/x
  3. Step 3: Cross multiply
    6,480.65x = 8,957.10 × 5,712.77
  4. Step 4: Simplify right side
    6,480.65x = 51,169,807.38
  5. Step 5: Solve for x
    x = 51,169,807.38/6,480.65
  6. Step 6: Final answer
    x = 7,895.79

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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.