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Finding the Fourth Proportional to 10,152.92, 15,211.29 and 6,202.10

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Solution

The fourth proportional to 10,152.92, 15,211.29 and 6,202.10 is: 9,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.92 : 15,211.29 = 6,202.10 : x
  2. Step 2: Convert to fraction form
    10,152.92/15,211.29 = 6,202.10/x
  3. Step 3: Cross multiply
    10,152.92x = 15,211.29 × 6,202.10
  4. Step 4: Simplify right side
    10,152.92x = 94,341,941.71
  5. Step 5: Solve for x
    x = 94,341,941.71/10,152.92
  6. Step 6: Final answer
    x = 9,292.10

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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.