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Finding the Fourth Proportional to 7,948.60, 10,969.34 and 4,363.82

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Solution

The fourth proportional to 7,948.60, 10,969.34 and 4,363.82 is: 6,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.60 : 10,969.34 = 4,363.82 : x
  2. Step 2: Convert to fraction form
    7,948.60/10,969.34 = 4,363.82/x
  3. Step 3: Cross multiply
    7,948.60x = 10,969.34 × 4,363.82
  4. Step 4: Simplify right side
    7,948.60x = 47,868,225.28
  5. Step 5: Solve for x
    x = 47,868,225.28/7,948.60
  6. Step 6: Final answer
    x = 6,022.22

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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.