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Finding the Fourth Proportional to 10,972.84, 15,142.24 and 6,256.84

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Solution

The fourth proportional to 10,972.84, 15,142.24 and 6,256.84 is: 8,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.84 : 15,142.24 = 6,256.84 : x
  2. Step 2: Convert to fraction form
    10,972.84/15,142.24 = 6,256.84/x
  3. Step 3: Cross multiply
    10,972.84x = 15,142.24 × 6,256.84
  4. Step 4: Simplify right side
    10,972.84x = 94,742,572.92
  5. Step 5: Solve for x
    x = 94,742,572.92/10,972.84
  6. Step 6: Final answer
    x = 8,634.28

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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.