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Finding the Fourth Proportional to 10,760.74, 14,849.88 and 5,980.74

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Solution

The fourth proportional to 10,760.74, 14,849.88 and 5,980.74 is: 8,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.74 : 14,849.88 = 5,980.74 : x
  2. Step 2: Convert to fraction form
    10,760.74/14,849.88 = 5,980.74/x
  3. Step 3: Cross multiply
    10,760.74x = 14,849.88 × 5,980.74
  4. Step 4: Simplify right side
    10,760.74x = 88,813,271.31
  5. Step 5: Solve for x
    x = 88,813,271.31/10,760.74
  6. Step 6: Final answer
    x = 8,253.45

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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.