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Finding the Fourth Proportional to 10,102.67, 15,160.94 and 3,528.84

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Solution

The fourth proportional to 10,102.67, 15,160.94 and 3,528.84 is: 5,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.67 : 15,160.94 = 3,528.84 : x
  2. Step 2: Convert to fraction form
    10,102.67/15,160.94 = 3,528.84/x
  3. Step 3: Cross multiply
    10,102.67x = 15,160.94 × 3,528.84
  4. Step 4: Simplify right side
    10,102.67x = 53,500,531.51
  5. Step 5: Solve for x
    x = 53,500,531.51/10,102.67
  6. Step 6: Final answer
    x = 5,295.68

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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.