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Finding the Fourth Proportional to 10,934.88, 16,402.50 and 4,271.88

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Solution

The fourth proportional to 10,934.88, 16,402.50 and 4,271.88 is: 6,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.88 : 16,402.50 = 4,271.88 : x
  2. Step 2: Convert to fraction form
    10,934.88/16,402.50 = 4,271.88/x
  3. Step 3: Cross multiply
    10,934.88x = 16,402.50 × 4,271.88
  4. Step 4: Simplify right side
    10,934.88x = 70,069,511.70
  5. Step 5: Solve for x
    x = 70,069,511.70/10,934.88
  6. Step 6: Final answer
    x = 6,407.89

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