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Finding the Fourth Proportional to 7,448.61, 11,172.78 and 3,006.16

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Solution

The fourth proportional to 7,448.61, 11,172.78 and 3,006.16 is: 4,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.61 : 11,172.78 = 3,006.16 : x
  2. Step 2: Convert to fraction form
    7,448.61/11,172.78 = 3,006.16/x
  3. Step 3: Cross multiply
    7,448.61x = 11,172.78 × 3,006.16
  4. Step 4: Simplify right side
    7,448.61x = 33,587,149.29
  5. Step 5: Solve for x
    x = 33,587,149.29/7,448.61
  6. Step 6: Final answer
    x = 4,509.18

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Why These Related Problems?

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