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Finding the Fourth Proportional to 10,302.54, 15,453.51 and 2,906.83

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Solution

The fourth proportional to 10,302.54, 15,453.51 and 2,906.83 is: 4,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.54 : 15,453.51 = 2,906.83 : x
  2. Step 2: Convert to fraction form
    10,302.54/15,453.51 = 2,906.83/x
  3. Step 3: Cross multiply
    10,302.54x = 15,453.51 × 2,906.83
  4. Step 4: Simplify right side
    10,302.54x = 44,920,726.47
  5. Step 5: Solve for x
    x = 44,920,726.47/10,302.54
  6. Step 6: Final answer
    x = 4,360.16

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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.