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Finding the Fourth Proportional to 10,152.12, 15,237.41 and 7,052.05

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Solution

The fourth proportional to 10,152.12, 15,237.41 and 7,052.05 is: 10,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.12 : 15,237.41 = 7,052.05 : x
  2. Step 2: Convert to fraction form
    10,152.12/15,237.41 = 7,052.05/x
  3. Step 3: Cross multiply
    10,152.12x = 15,237.41 × 7,052.05
  4. Step 4: Simplify right side
    10,152.12x = 107,454,974.26
  5. Step 5: Solve for x
    x = 107,454,974.26/10,152.12
  6. Step 6: Final answer
    x = 10,584.48

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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.