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Finding the Fourth Proportional to 7,865.30, 10,854 and 4,280.19

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Solution

The fourth proportional to 7,865.30, 10,854 and 4,280.19 is: 5,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.30 : 10,854 = 4,280.19 : x
  2. Step 2: Convert to fraction form
    7,865.30/10,854 = 4,280.19/x
  3. Step 3: Cross multiply
    7,865.30x = 10,854 × 4,280.19
  4. Step 4: Simplify right side
    7,865.30x = 46,457,202.61
  5. Step 5: Solve for x
    x = 46,457,202.61/7,865.30
  6. Step 6: Final answer
    x = 5,906.60

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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.