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Finding the Fourth Proportional to 10,102.17, 15,160.19 and 3,528.35

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Solution

The fourth proportional to 10,102.17, 15,160.19 and 3,528.35 is: 5,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.17 : 15,160.19 = 3,528.35 : x
  2. Step 2: Convert to fraction form
    10,102.17/15,160.19 = 3,528.35/x
  3. Step 3: Cross multiply
    10,102.17x = 15,160.19 × 3,528.35
  4. Step 4: Simplify right side
    10,102.17x = 53,490,362.94
  5. Step 5: Solve for x
    x = 53,490,362.94/10,102.17
  6. Step 6: Final answer
    x = 5,294.94

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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.