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Finding the Fourth Proportional to 10,012.16, 15,007.82 and 3,767.88

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Solution

The fourth proportional to 10,012.16, 15,007.82 and 3,767.88 is: 5,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.16 : 15,007.82 = 3,767.88 : x
  2. Step 2: Convert to fraction form
    10,012.16/15,007.82 = 3,767.88/x
  3. Step 3: Cross multiply
    10,012.16x = 15,007.82 × 3,767.88
  4. Step 4: Simplify right side
    10,012.16x = 56,547,664.82
  5. Step 5: Solve for x
    x = 56,547,664.82/10,012.16
  6. Step 6: Final answer
    x = 5,647.90

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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.