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Finding the Fourth Proportional to 10,954.32, 16,443.18 and 4,717.42

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Solution

The fourth proportional to 10,954.32, 16,443.18 and 4,717.42 is: 7,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.32 : 16,443.18 = 4,717.42 : x
  2. Step 2: Convert to fraction form
    10,954.32/16,443.18 = 4,717.42/x
  3. Step 3: Cross multiply
    10,954.32x = 16,443.18 × 4,717.42
  4. Step 4: Simplify right side
    10,954.32x = 77,569,386.20
  5. Step 5: Solve for x
    x = 77,569,386.20/10,954.32
  6. Step 6: Final answer
    x = 7,081.17

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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.