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Finding the Fourth Proportional to 10,036.32, 15,063.74 and 5,109.52

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Solution

The fourth proportional to 10,036.32, 15,063.74 and 5,109.52 is: 7,668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.32 : 15,063.74 = 5,109.52 : x
  2. Step 2: Convert to fraction form
    10,036.32/15,063.74 = 5,109.52/x
  3. Step 3: Cross multiply
    10,036.32x = 15,063.74 × 5,109.52
  4. Step 4: Simplify right side
    10,036.32x = 76,968,480.80
  5. Step 5: Solve for x
    x = 76,968,480.80/10,036.32
  6. Step 6: Final answer
    x = 7,668.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.