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Finding the Fourth Proportional to 7,802.04, 10,766.82 and 4,617.54

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Solution

The fourth proportional to 7,802.04, 10,766.82 and 4,617.54 is: 6,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.04 : 10,766.82 = 4,617.54 : x
  2. Step 2: Convert to fraction form
    7,802.04/10,766.82 = 4,617.54/x
  3. Step 3: Cross multiply
    7,802.04x = 10,766.82 × 4,617.54
  4. Step 4: Simplify right side
    7,802.04x = 49,716,222.02
  5. Step 5: Solve for x
    x = 49,716,222.02/7,802.04
  6. Step 6: Final answer
    x = 6,372.21

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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.