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Finding the Fourth Proportional to 10,575.16, 14,593.52 and 5,859.48

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Solution

The fourth proportional to 10,575.16, 14,593.52 and 5,859.48 is: 8,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.16 : 14,593.52 = 5,859.48 : x
  2. Step 2: Convert to fraction form
    10,575.16/14,593.52 = 5,859.48/x
  3. Step 3: Cross multiply
    10,575.16x = 14,593.52 × 5,859.48
  4. Step 4: Simplify right side
    10,575.16x = 85,510,438.57
  5. Step 5: Solve for x
    x = 85,510,438.57/10,575.16
  6. Step 6: Final answer
    x = 8,085.97

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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.