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Finding the Fourth Proportional to 10,023.14, 15,043.80 and 5,347.10

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Solution

The fourth proportional to 10,023.14, 15,043.80 and 5,347.10 is: 8,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.14 : 15,043.80 = 5,347.10 : x
  2. Step 2: Convert to fraction form
    10,023.14/15,043.80 = 5,347.10/x
  3. Step 3: Cross multiply
    10,023.14x = 15,043.80 × 5,347.10
  4. Step 4: Simplify right side
    10,023.14x = 80,440,702.98
  5. Step 5: Solve for x
    x = 80,440,702.98/10,023.14
  6. Step 6: Final answer
    x = 8,025.50

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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.