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Finding the Fourth Proportional to 10,003.38, 13,804.68 and 6,024.66

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Solution

The fourth proportional to 10,003.38, 13,804.68 and 6,024.66 is: 8,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.38 : 13,804.68 = 6,024.66 : x
  2. Step 2: Convert to fraction form
    10,003.38/13,804.68 = 6,024.66/x
  3. Step 3: Cross multiply
    10,003.38x = 13,804.68 × 6,024.66
  4. Step 4: Simplify right side
    10,003.38x = 83,168,503.41
  5. Step 5: Solve for x
    x = 83,168,503.41/10,003.38
  6. Step 6: Final answer
    x = 8,314.04

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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.