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Finding the Fourth Proportional to 10,294.41, 15,437.06 and 3,720.66

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Solution

The fourth proportional to 10,294.41, 15,437.06 and 3,720.66 is: 5,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.41 : 15,437.06 = 3,720.66 : x
  2. Step 2: Convert to fraction form
    10,294.41/15,437.06 = 3,720.66/x
  3. Step 3: Cross multiply
    10,294.41x = 15,437.06 × 3,720.66
  4. Step 4: Simplify right side
    10,294.41x = 57,436,051.66
  5. Step 5: Solve for x
    x = 57,436,051.66/10,294.41
  6. Step 6: Final answer
    x = 5,579.34

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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.