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Finding the Fourth Proportional to 11,242.32, 15,514.95 and 6,767.46

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Solution

The fourth proportional to 11,242.32, 15,514.95 and 6,767.46 is: 9,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.32 : 15,514.95 = 6,767.46 : x
  2. Step 2: Convert to fraction form
    11,242.32/15,514.95 = 6,767.46/x
  3. Step 3: Cross multiply
    11,242.32x = 15,514.95 × 6,767.46
  4. Step 4: Simplify right side
    11,242.32x = 104,996,803.53
  5. Step 5: Solve for x
    x = 104,996,803.53/11,242.32
  6. Step 6: Final answer
    x = 9,339.42

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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.