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Finding the Fourth Proportional to 11,332.87, 15,641.84 and 6,298.81

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Solution

The fourth proportional to 11,332.87, 15,641.84 and 6,298.81 is: 8,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.87 : 15,641.84 = 6,298.81 : x
  2. Step 2: Convert to fraction form
    11,332.87/15,641.84 = 6,298.81/x
  3. Step 3: Cross multiply
    11,332.87x = 15,641.84 × 6,298.81
  4. Step 4: Simplify right side
    11,332.87x = 98,524,954.85
  5. Step 5: Solve for x
    x = 98,524,954.85/11,332.87
  6. Step 6: Final answer
    x = 8,693.74

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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.