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Finding the Fourth Proportional to 10,480.74, 14,462.20 and 6,004.23

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Solution

The fourth proportional to 10,480.74, 14,462.20 and 6,004.23 is: 8,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.74 : 14,462.20 = 6,004.23 : x
  2. Step 2: Convert to fraction form
    10,480.74/14,462.20 = 6,004.23/x
  3. Step 3: Cross multiply
    10,480.74x = 14,462.20 × 6,004.23
  4. Step 4: Simplify right side
    10,480.74x = 86,834,328.38
  5. Step 5: Solve for x
    x = 86,834,328.38/10,480.74
  6. Step 6: Final answer
    x = 8,285.14

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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.