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Finding the Fourth Proportional to 10,652.13, 15,959.43 and 9,492.45

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Solution

The fourth proportional to 10,652.13, 15,959.43 and 9,492.45 is: 14,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.13 : 15,959.43 = 9,492.45 : x
  2. Step 2: Convert to fraction form
    10,652.13/15,959.43 = 9,492.45/x
  3. Step 3: Cross multiply
    10,652.13x = 15,959.43 × 9,492.45
  4. Step 4: Simplify right side
    10,652.13x = 151,494,091.30
  5. Step 5: Solve for x
    x = 151,494,091.30/10,652.13
  6. Step 6: Final answer
    x = 14,221.95

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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.