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Finding the Fourth Proportional to 10,219.54, 15,326.07 and 4,374.58

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Solution

The fourth proportional to 10,219.54, 15,326.07 and 4,374.58 is: 6,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.54 : 15,326.07 = 4,374.58 : x
  2. Step 2: Convert to fraction form
    10,219.54/15,326.07 = 4,374.58/x
  3. Step 3: Cross multiply
    10,219.54x = 15,326.07 × 4,374.58
  4. Step 4: Simplify right side
    10,219.54x = 67,045,119.30
  5. Step 5: Solve for x
    x = 67,045,119.30/10,219.54
  6. Step 6: Final answer
    x = 6,560.48

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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.