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Finding the Fourth Proportional to 10,021.51, 15,027.82 and 5,340.65

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Solution

The fourth proportional to 10,021.51, 15,027.82 and 5,340.65 is: 8,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.51 : 15,027.82 = 5,340.65 : x
  2. Step 2: Convert to fraction form
    10,021.51/15,027.82 = 5,340.65/x
  3. Step 3: Cross multiply
    10,021.51x = 15,027.82 × 5,340.65
  4. Step 4: Simplify right side
    10,021.51x = 80,258,248.41
  5. Step 5: Solve for x
    x = 80,258,248.41/10,021.51
  6. Step 6: Final answer
    x = 8,008.60

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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.