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Finding the Fourth Proportional to 7,045.94, 10,565.13 and 6,743

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Solution

The fourth proportional to 7,045.94, 10,565.13 and 6,743 is: 10,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.94 : 10,565.13 = 6,743 : x
  2. Step 2: Convert to fraction form
    7,045.94/10,565.13 = 6,743/x
  3. Step 3: Cross multiply
    7,045.94x = 10,565.13 × 6,743
  4. Step 4: Simplify right side
    7,045.94x = 71,240,671.59
  5. Step 5: Solve for x
    x = 71,240,671.59/7,045.94
  6. Step 6: Final answer
    x = 10,110.88

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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.