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Finding the Fourth Proportional to 10,049.60, 13,867.92 and 5,573

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Solution

The fourth proportional to 10,049.60, 13,867.92 and 5,573 is: 7,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.60 : 13,867.92 = 5,573 : x
  2. Step 2: Convert to fraction form
    10,049.60/13,867.92 = 5,573/x
  3. Step 3: Cross multiply
    10,049.60x = 13,867.92 × 5,573
  4. Step 4: Simplify right side
    10,049.60x = 77,285,918.16
  5. Step 5: Solve for x
    x = 77,285,918.16/10,049.60
  6. Step 6: Final answer
    x = 7,690.45

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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.