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Finding the Fourth Proportional to 10,340.98, 14,270.52 and 5,865.60

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Solution

The fourth proportional to 10,340.98, 14,270.52 and 5,865.60 is: 8,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.98 : 14,270.52 = 5,865.60 : x
  2. Step 2: Convert to fraction form
    10,340.98/14,270.52 = 5,865.60/x
  3. Step 3: Cross multiply
    10,340.98x = 14,270.52 × 5,865.60
  4. Step 4: Simplify right side
    10,340.98x = 83,705,176.31
  5. Step 5: Solve for x
    x = 83,705,176.31/10,340.98
  6. Step 6: Final answer
    x = 8,094.51

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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.