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Finding the Fourth Proportional to 10,645.61, 15,970.35 and 3,625.29

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Solution

The fourth proportional to 10,645.61, 15,970.35 and 3,625.29 is: 5,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.61 : 15,970.35 = 3,625.29 : x
  2. Step 2: Convert to fraction form
    10,645.61/15,970.35 = 3,625.29/x
  3. Step 3: Cross multiply
    10,645.61x = 15,970.35 × 3,625.29
  4. Step 4: Simplify right side
    10,645.61x = 57,897,150.15
  5. Step 5: Solve for x
    x = 57,897,150.15/10,645.61
  6. Step 6: Final answer
    x = 5,438.59

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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.