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Finding the Fourth Proportional to 10,152.39, 15,221.25 and 4,602.90

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Solution

The fourth proportional to 10,152.39, 15,221.25 and 4,602.90 is: 6,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.39 : 15,221.25 = 4,602.90 : x
  2. Step 2: Convert to fraction form
    10,152.39/15,221.25 = 4,602.90/x
  3. Step 3: Cross multiply
    10,152.39x = 15,221.25 × 4,602.90
  4. Step 4: Simplify right side
    10,152.39x = 70,061,891.63
  5. Step 5: Solve for x
    x = 70,061,891.63/10,152.39
  6. Step 6: Final answer
    x = 6,901.02

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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.