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Finding the Fourth Proportional to 7,259.65, 10,874.88 and 6,144.28

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Solution

The fourth proportional to 7,259.65, 10,874.88 and 6,144.28 is: 9,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.65 : 10,874.88 = 6,144.28 : x
  2. Step 2: Convert to fraction form
    7,259.65/10,874.88 = 6,144.28/x
  3. Step 3: Cross multiply
    7,259.65x = 10,874.88 × 6,144.28
  4. Step 4: Simplify right side
    7,259.65x = 66,818,280.50
  5. Step 5: Solve for x
    x = 66,818,280.50/7,259.65
  6. Step 6: Final answer
    x = 9,204.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.