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Finding the Fourth Proportional to 10,022.04, 13,805.22 and 7,660.20

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Solution

The fourth proportional to 10,022.04, 13,805.22 and 7,660.20 is: 10,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.04 : 13,805.22 = 7,660.20 : x
  2. Step 2: Convert to fraction form
    10,022.04/13,805.22 = 7,660.20/x
  3. Step 3: Cross multiply
    10,022.04x = 13,805.22 × 7,660.20
  4. Step 4: Simplify right side
    10,022.04x = 105,750,746.24
  5. Step 5: Solve for x
    x = 105,750,746.24/10,022.04
  6. Step 6: Final answer
    x = 10,551.82

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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.