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Finding the Fourth Proportional to 10,348.34, 15,523.42 and 2,952.64

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Solution

The fourth proportional to 10,348.34, 15,523.42 and 2,952.64 is: 4,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.34 : 15,523.42 = 2,952.64 : x
  2. Step 2: Convert to fraction form
    10,348.34/15,523.42 = 2,952.64/x
  3. Step 3: Cross multiply
    10,348.34x = 15,523.42 × 2,952.64
  4. Step 4: Simplify right side
    10,348.34x = 45,835,070.83
  5. Step 5: Solve for x
    x = 45,835,070.83/10,348.34
  6. Step 6: Final answer
    x = 4,429.22

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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.