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Finding the Fourth Proportional to 10,344.52, 15,515.70 and 2,948.50

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Solution

The fourth proportional to 10,344.52, 15,515.70 and 2,948.50 is: 4,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.52 : 15,515.70 = 2,948.50 : x
  2. Step 2: Convert to fraction form
    10,344.52/15,515.70 = 2,948.50/x
  3. Step 3: Cross multiply
    10,344.52x = 15,515.70 × 2,948.50
  4. Step 4: Simplify right side
    10,344.52x = 45,748,041.45
  5. Step 5: Solve for x
    x = 45,748,041.45/10,344.52
  6. Step 6: Final answer
    x = 4,422.44

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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.