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Finding the Fourth Proportional to 10,348.61, 15,523.47 and 2,952.50

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Solution

The fourth proportional to 10,348.61, 15,523.47 and 2,952.50 is: 4,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.61 : 15,523.47 = 2,952.50 : x
  2. Step 2: Convert to fraction form
    10,348.61/15,523.47 = 2,952.50/x
  3. Step 3: Cross multiply
    10,348.61x = 15,523.47 × 2,952.50
  4. Step 4: Simplify right side
    10,348.61x = 45,832,967.56
  5. Step 5: Solve for x
    x = 45,832,967.56/10,348.61
  6. Step 6: Final answer
    x = 4,428.90

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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.