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Finding the Fourth Proportional to 10,491.24, 14,478.08 and 5,775.64

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Solution

The fourth proportional to 10,491.24, 14,478.08 and 5,775.64 is: 7,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.24 : 14,478.08 = 5,775.64 : x
  2. Step 2: Convert to fraction form
    10,491.24/14,478.08 = 5,775.64/x
  3. Step 3: Cross multiply
    10,491.24x = 14,478.08 × 5,775.64
  4. Step 4: Simplify right side
    10,491.24x = 83,620,177.97
  5. Step 5: Solve for x
    x = 83,620,177.97/10,491.24
  6. Step 6: Final answer
    x = 7,970.48

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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.