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Finding the Fourth Proportional to 10,830.65, 14,945.22 and 6,114.02

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Solution

The fourth proportional to 10,830.65, 14,945.22 and 6,114.02 is: 8,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.65 : 14,945.22 = 6,114.02 : x
  2. Step 2: Convert to fraction form
    10,830.65/14,945.22 = 6,114.02/x
  3. Step 3: Cross multiply
    10,830.65x = 14,945.22 × 6,114.02
  4. Step 4: Simplify right side
    10,830.65x = 91,375,373.98
  5. Step 5: Solve for x
    x = 91,375,373.98/10,830.65
  6. Step 6: Final answer
    x = 8,436.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.