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Finding the Fourth Proportional to 10,005.20, 15,015.19 and 4,740.21

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Solution

The fourth proportional to 10,005.20, 15,015.19 and 4,740.21 is: 7,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.20 : 15,015.19 = 4,740.21 : x
  2. Step 2: Convert to fraction form
    10,005.20/15,015.19 = 4,740.21/x
  3. Step 3: Cross multiply
    10,005.20x = 15,015.19 × 4,740.21
  4. Step 4: Simplify right side
    10,005.20x = 71,175,141.94
  5. Step 5: Solve for x
    x = 71,175,141.94/10,005.20
  6. Step 6: Final answer
    x = 7,113.82

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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.