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Finding the Fourth Proportional to 7,948.80, 10,969.47 and 4,412.16

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Solution

The fourth proportional to 7,948.80, 10,969.47 and 4,412.16 is: 6,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.80 : 10,969.47 = 4,412.16 : x
  2. Step 2: Convert to fraction form
    7,948.80/10,969.47 = 4,412.16/x
  3. Step 3: Cross multiply
    7,948.80x = 10,969.47 × 4,412.16
  4. Step 4: Simplify right side
    7,948.80x = 48,399,056.76
  5. Step 5: Solve for x
    x = 48,399,056.76/7,948.80
  6. Step 6: Final answer
    x = 6,088.85

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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.