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Finding the Fourth Proportional to 10,002.84, 15,004.52 and 3,429

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Solution

The fourth proportional to 10,002.84, 15,004.52 and 3,429 is: 5,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.84 : 15,004.52 = 3,429 : x
  2. Step 2: Convert to fraction form
    10,002.84/15,004.52 = 3,429/x
  3. Step 3: Cross multiply
    10,002.84x = 15,004.52 × 3,429
  4. Step 4: Simplify right side
    10,002.84x = 51,450,499.08
  5. Step 5: Solve for x
    x = 51,450,499.08/10,002.84
  6. Step 6: Final answer
    x = 5,143.59

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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.