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Finding the Fourth Proportional to 10,488.28, 14,473.84 and 5,772.84

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Solution

The fourth proportional to 10,488.28, 14,473.84 and 5,772.84 is: 7,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.28 : 14,473.84 = 5,772.84 : x
  2. Step 2: Convert to fraction form
    10,488.28/14,473.84 = 5,772.84/x
  3. Step 3: Cross multiply
    10,488.28x = 14,473.84 × 5,772.84
  4. Step 4: Simplify right side
    10,488.28x = 83,555,162.51
  5. Step 5: Solve for x
    x = 83,555,162.51/10,488.28
  6. Step 6: Final answer
    x = 7,966.53

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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.