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Finding the Fourth Proportional to 7,148.76, 10,721.52 and 2,468.58

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Solution

The fourth proportional to 7,148.76, 10,721.52 and 2,468.58 is: 3,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.76 : 10,721.52 = 2,468.58 : x
  2. Step 2: Convert to fraction form
    7,148.76/10,721.52 = 2,468.58/x
  3. Step 3: Cross multiply
    7,148.76x = 10,721.52 × 2,468.58
  4. Step 4: Simplify right side
    7,148.76x = 26,466,929.84
  5. Step 5: Solve for x
    x = 26,466,929.84/7,148.76
  6. Step 6: Final answer
    x = 3,702.31

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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.