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Finding the Fourth Proportional to 11,508.47, 15,865.03 and 7,621.38

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Solution

The fourth proportional to 11,508.47, 15,865.03 and 7,621.38 is: 10,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.47 : 15,865.03 = 7,621.38 : x
  2. Step 2: Convert to fraction form
    11,508.47/15,865.03 = 7,621.38/x
  3. Step 3: Cross multiply
    11,508.47x = 15,865.03 × 7,621.38
  4. Step 4: Simplify right side
    11,508.47x = 120,913,403.29
  5. Step 5: Solve for x
    x = 120,913,403.29/11,508.47
  6. Step 6: Final answer
    x = 10,506.47

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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.