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Finding the Fourth Proportional to 10,954.32, 15,117.75 and 6,238.91

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Solution

The fourth proportional to 10,954.32, 15,117.75 and 6,238.91 is: 8,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.32 : 15,117.75 = 6,238.91 : x
  2. Step 2: Convert to fraction form
    10,954.32/15,117.75 = 6,238.91/x
  3. Step 3: Cross multiply
    10,954.32x = 15,117.75 × 6,238.91
  4. Step 4: Simplify right side
    10,954.32x = 94,318,206.06
  5. Step 5: Solve for x
    x = 94,318,206.06/10,954.32
  6. Step 6: Final answer
    x = 8,610.14

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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.