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Finding the Fourth Proportional to 10,491.92, 14,478.30 and 5,775.28

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Solution

The fourth proportional to 10,491.92, 14,478.30 and 5,775.28 is: 7,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.92 : 14,478.30 = 5,775.28 : x
  2. Step 2: Convert to fraction form
    10,491.92/14,478.30 = 5,775.28/x
  3. Step 3: Cross multiply
    10,491.92x = 14,478.30 × 5,775.28
  4. Step 4: Simplify right side
    10,491.92x = 83,616,236.42
  5. Step 5: Solve for x
    x = 83,616,236.42/10,491.92
  6. Step 6: Final answer
    x = 7,969.58

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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.