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Finding the Fourth Proportional to 11,425.16, 15,766.83 and 6,709.52

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Solution

The fourth proportional to 11,425.16, 15,766.83 and 6,709.52 is: 9,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.16 : 15,766.83 = 6,709.52 : x
  2. Step 2: Convert to fraction form
    11,425.16/15,766.83 = 6,709.52/x
  3. Step 3: Cross multiply
    11,425.16x = 15,766.83 × 6,709.52
  4. Step 4: Simplify right side
    11,425.16x = 105,787,861.22
  5. Step 5: Solve for x
    x = 105,787,861.22/11,425.16
  6. Step 6: Final answer
    x = 9,259.20

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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.