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Finding the Fourth Proportional to 10,467.97, 15,689.18 and 4,913.90

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Solution

The fourth proportional to 10,467.97, 15,689.18 and 4,913.90 is: 7,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.97 : 15,689.18 = 4,913.90 : x
  2. Step 2: Convert to fraction form
    10,467.97/15,689.18 = 4,913.90/x
  3. Step 3: Cross multiply
    10,467.97x = 15,689.18 × 4,913.90
  4. Step 4: Simplify right side
    10,467.97x = 77,095,113.11
  5. Step 5: Solve for x
    x = 77,095,113.11/10,467.97
  6. Step 6: Final answer
    x = 7,364.86

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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.