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Finding the Fourth Proportional to 10,352.90, 15,529.35 and 6,205.70

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Solution

The fourth proportional to 10,352.90, 15,529.35 and 6,205.70 is: 9,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.90 : 15,529.35 = 6,205.70 : x
  2. Step 2: Convert to fraction form
    10,352.90/15,529.35 = 6,205.70/x
  3. Step 3: Cross multiply
    10,352.90x = 15,529.35 × 6,205.70
  4. Step 4: Simplify right side
    10,352.90x = 96,370,487.30
  5. Step 5: Solve for x
    x = 96,370,487.30/10,352.90
  6. Step 6: Final answer
    x = 9,308.55

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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.