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Finding the Fourth Proportional to 10,353.59, 15,538.12 and 4,029.46

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Solution

The fourth proportional to 10,353.59, 15,538.12 and 4,029.46 is: 6,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.59 : 15,538.12 = 4,029.46 : x
  2. Step 2: Convert to fraction form
    10,353.59/15,538.12 = 4,029.46/x
  3. Step 3: Cross multiply
    10,353.59x = 15,538.12 × 4,029.46
  4. Step 4: Simplify right side
    10,353.59x = 62,610,274.94
  5. Step 5: Solve for x
    x = 62,610,274.94/10,353.59
  6. Step 6: Final answer
    x = 6,047.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.