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Finding the Fourth Proportional to 10,552.81, 14,565.75 and 6,571.57

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Solution

The fourth proportional to 10,552.81, 14,565.75 and 6,571.57 is: 9,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.81 : 14,565.75 = 6,571.57 : x
  2. Step 2: Convert to fraction form
    10,552.81/14,565.75 = 6,571.57/x
  3. Step 3: Cross multiply
    10,552.81x = 14,565.75 × 6,571.57
  4. Step 4: Simplify right side
    10,552.81x = 95,719,772.90
  5. Step 5: Solve for x
    x = 95,719,772.90/10,552.81
  6. Step 6: Final answer
    x = 9,070.55

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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.