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Finding the Fourth Proportional to 10,372.32, 15,547.68 and 7,767.36

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Solution

The fourth proportional to 10,372.32, 15,547.68 and 7,767.36 is: 11,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.32 : 15,547.68 = 7,767.36 : x
  2. Step 2: Convert to fraction form
    10,372.32/15,547.68 = 7,767.36/x
  3. Step 3: Cross multiply
    10,372.32x = 15,547.68 × 7,767.36
  4. Step 4: Simplify right side
    10,372.32x = 120,764,427.72
  5. Step 5: Solve for x
    x = 120,764,427.72/10,372.32
  6. Step 6: Final answer
    x = 11,642.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.