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Finding the Fourth Proportional to 11,338.64, 15,647.02 and 6,302.74

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Solution

The fourth proportional to 11,338.64, 15,647.02 and 6,302.74 is: 8,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.64 : 15,647.02 = 6,302.74 : x
  2. Step 2: Convert to fraction form
    11,338.64/15,647.02 = 6,302.74/x
  3. Step 3: Cross multiply
    11,338.64x = 15,647.02 × 6,302.74
  4. Step 4: Simplify right side
    11,338.64x = 98,619,098.83
  5. Step 5: Solve for x
    x = 98,619,098.83/11,338.64
  6. Step 6: Final answer
    x = 8,697.61

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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.