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Finding the Fourth Proportional to 10,547.16, 15,832.97 and 6,167.76

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Solution

The fourth proportional to 10,547.16, 15,832.97 and 6,167.76 is: 9,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.16 : 15,832.97 = 6,167.76 : x
  2. Step 2: Convert to fraction form
    10,547.16/15,832.97 = 6,167.76/x
  3. Step 3: Cross multiply
    10,547.16x = 15,832.97 × 6,167.76
  4. Step 4: Simplify right side
    10,547.16x = 97,653,928.21
  5. Step 5: Solve for x
    x = 97,653,928.21/10,547.16
  6. Step 6: Final answer
    x = 9,258.79

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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.