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Finding the Fourth Proportional to 7,802.49, 10,766.18 and 4,445.36

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Solution

The fourth proportional to 7,802.49, 10,766.18 and 4,445.36 is: 6,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.49 : 10,766.18 = 4,445.36 : x
  2. Step 2: Convert to fraction form
    7,802.49/10,766.18 = 4,445.36/x
  3. Step 3: Cross multiply
    7,802.49x = 10,766.18 × 4,445.36
  4. Step 4: Simplify right side
    7,802.49x = 47,859,469.87
  5. Step 5: Solve for x
    x = 47,859,469.87/7,802.49
  6. Step 6: Final answer
    x = 6,133.87

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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.