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Finding the Fourth Proportional to 10,645.76, 15,967.14 and 3,625.52

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Solution

The fourth proportional to 10,645.76, 15,967.14 and 3,625.52 is: 5,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.76 : 15,967.14 = 3,625.52 : x
  2. Step 2: Convert to fraction form
    10,645.76/15,967.14 = 3,625.52/x
  3. Step 3: Cross multiply
    10,645.76x = 15,967.14 × 3,625.52
  4. Step 4: Simplify right side
    10,645.76x = 57,889,185.41
  5. Step 5: Solve for x
    x = 57,889,185.41/10,645.76
  6. Step 6: Final answer
    x = 5,437.77

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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.