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Finding the Fourth Proportional to 7,948.74, 10,969.62 and 4,412

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Solution

The fourth proportional to 7,948.74, 10,969.62 and 4,412 is: 6,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.74 : 10,969.62 = 4,412 : x
  2. Step 2: Convert to fraction form
    7,948.74/10,969.62 = 4,412/x
  3. Step 3: Cross multiply
    7,948.74x = 10,969.62 × 4,412
  4. Step 4: Simplify right side
    7,948.74x = 48,397,963.44
  5. Step 5: Solve for x
    x = 48,397,963.44/7,948.74
  6. Step 6: Final answer
    x = 6,088.76

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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.