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Finding the Fourth Proportional to 10,752.34, 14,837.34 and 6,036.52

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Solution

The fourth proportional to 10,752.34, 14,837.34 and 6,036.52 is: 8,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.34 : 14,837.34 = 6,036.52 : x
  2. Step 2: Convert to fraction form
    10,752.34/14,837.34 = 6,036.52/x
  3. Step 3: Cross multiply
    10,752.34x = 14,837.34 × 6,036.52
  4. Step 4: Simplify right side
    10,752.34x = 89,565,899.66
  5. Step 5: Solve for x
    x = 89,565,899.66/10,752.34
  6. Step 6: Final answer
    x = 8,329.90

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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.