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Finding the Fourth Proportional to 10,531.92, 15,797.93 and 4,291.99

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Solution

The fourth proportional to 10,531.92, 15,797.93 and 4,291.99 is: 6,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.92 : 15,797.93 = 4,291.99 : x
  2. Step 2: Convert to fraction form
    10,531.92/15,797.93 = 4,291.99/x
  3. Step 3: Cross multiply
    10,531.92x = 15,797.93 × 4,291.99
  4. Step 4: Simplify right side
    10,531.92x = 67,804,557.58
  5. Step 5: Solve for x
    x = 67,804,557.58/10,531.92
  6. Step 6: Final answer
    x = 6,438.01

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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.