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Finding the Fourth Proportional to 10,102.01, 15,159.93 and 3,528.20

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Solution

The fourth proportional to 10,102.01, 15,159.93 and 3,528.20 is: 5,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.01 : 15,159.93 = 3,528.20 : x
  2. Step 2: Convert to fraction form
    10,102.01/15,159.93 = 3,528.20/x
  3. Step 3: Cross multiply
    10,102.01x = 15,159.93 × 3,528.20
  4. Step 4: Simplify right side
    10,102.01x = 53,487,265.03
  5. Step 5: Solve for x
    x = 53,487,265.03/10,102.01
  6. Step 6: Final answer
    x = 5,294.72

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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.