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Finding the Fourth Proportional to 11,538.32, 15,922.85 and 6,503.09

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Solution

The fourth proportional to 11,538.32, 15,922.85 and 6,503.09 is: 8,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.32 : 15,922.85 = 6,503.09 : x
  2. Step 2: Convert to fraction form
    11,538.32/15,922.85 = 6,503.09/x
  3. Step 3: Cross multiply
    11,538.32x = 15,922.85 × 6,503.09
  4. Step 4: Simplify right side
    11,538.32x = 103,547,614.48
  5. Step 5: Solve for x
    x = 103,547,614.48/11,538.32
  6. Step 6: Final answer
    x = 8,974.24

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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.