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Finding the Fourth Proportional to 10,309.40, 14,223.08 and 6,060.65

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Solution

The fourth proportional to 10,309.40, 14,223.08 and 6,060.65 is: 8,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.40 : 14,223.08 = 6,060.65 : x
  2. Step 2: Convert to fraction form
    10,309.40/14,223.08 = 6,060.65/x
  3. Step 3: Cross multiply
    10,309.40x = 14,223.08 × 6,060.65
  4. Step 4: Simplify right side
    10,309.40x = 86,201,008.38
  5. Step 5: Solve for x
    x = 86,201,008.38/10,309.40
  6. Step 6: Final answer
    x = 8,361.40

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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.