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Finding the Fourth Proportional to 10,135.92, 15,203.78 and 3,210.42

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Solution

The fourth proportional to 10,135.92, 15,203.78 and 3,210.42 is: 4,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.92 : 15,203.78 = 3,210.42 : x
  2. Step 2: Convert to fraction form
    10,135.92/15,203.78 = 3,210.42/x
  3. Step 3: Cross multiply
    10,135.92x = 15,203.78 × 3,210.42
  4. Step 4: Simplify right side
    10,135.92x = 48,810,503.34
  5. Step 5: Solve for x
    x = 48,810,503.34/10,135.92
  6. Step 6: Final answer
    x = 4,815.60

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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.