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Finding the Fourth Proportional to 10,565.97, 14,577.75 and 7,029.78

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Solution

The fourth proportional to 10,565.97, 14,577.75 and 7,029.78 is: 9,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.97 : 14,577.75 = 7,029.78 : x
  2. Step 2: Convert to fraction form
    10,565.97/14,577.75 = 7,029.78/x
  3. Step 3: Cross multiply
    10,565.97x = 14,577.75 × 7,029.78
  4. Step 4: Simplify right side
    10,565.97x = 102,478,375.40
  5. Step 5: Solve for x
    x = 102,478,375.40/10,565.97
  6. Step 6: Final answer
    x = 9,698.91

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