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Finding the Fourth Proportional to 10,206.64, 14,085.66 and 5,731.12

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Solution

The fourth proportional to 10,206.64, 14,085.66 and 5,731.12 is: 7,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.64 : 14,085.66 = 5,731.12 : x
  2. Step 2: Convert to fraction form
    10,206.64/14,085.66 = 5,731.12/x
  3. Step 3: Cross multiply
    10,206.64x = 14,085.66 × 5,731.12
  4. Step 4: Simplify right side
    10,206.64x = 80,726,607.74
  5. Step 5: Solve for x
    x = 80,726,607.74/10,206.64
  6. Step 6: Final answer
    x = 7,909.22

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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.