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Finding the Fourth Proportional to 10,508.70, 14,502.69 and 6,033.90

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Solution

The fourth proportional to 10,508.70, 14,502.69 and 6,033.90 is: 8,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.70 : 14,502.69 = 6,033.90 : x
  2. Step 2: Convert to fraction form
    10,508.70/14,502.69 = 6,033.90/x
  3. Step 3: Cross multiply
    10,508.70x = 14,502.69 × 6,033.90
  4. Step 4: Simplify right side
    10,508.70x = 87,507,781.19
  5. Step 5: Solve for x
    x = 87,507,781.19/10,508.70
  6. Step 6: Final answer
    x = 8,327.17

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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.