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Finding the Fourth Proportional to 10,402.44, 15,603.98 and 4,077.05

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Solution

The fourth proportional to 10,402.44, 15,603.98 and 4,077.05 is: 6,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.44 : 15,603.98 = 4,077.05 : x
  2. Step 2: Convert to fraction form
    10,402.44/15,603.98 = 4,077.05/x
  3. Step 3: Cross multiply
    10,402.44x = 15,603.98 × 4,077.05
  4. Step 4: Simplify right side
    10,402.44x = 63,618,108.25
  5. Step 5: Solve for x
    x = 63,618,108.25/10,402.44
  6. Step 6: Final answer
    x = 6,115.69

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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.