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Finding the Fourth Proportional to 7,948.68, 10,969.40 and 4,411.96

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Solution

The fourth proportional to 7,948.68, 10,969.40 and 4,411.96 is: 6,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.68 : 10,969.40 = 4,411.96 : x
  2. Step 2: Convert to fraction form
    7,948.68/10,969.40 = 4,411.96/x
  3. Step 3: Cross multiply
    7,948.68x = 10,969.40 × 4,411.96
  4. Step 4: Simplify right side
    7,948.68x = 48,396,554.02
  5. Step 5: Solve for x
    x = 48,396,554.02/7,948.68
  6. Step 6: Final answer
    x = 6,088.63

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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.