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Finding the Fourth Proportional to 10,319.54, 14,241.04 and 5,603.82

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Solution

The fourth proportional to 10,319.54, 14,241.04 and 5,603.82 is: 7,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.54 : 14,241.04 = 5,603.82 : x
  2. Step 2: Convert to fraction form
    10,319.54/14,241.04 = 5,603.82/x
  3. Step 3: Cross multiply
    10,319.54x = 14,241.04 × 5,603.82
  4. Step 4: Simplify right side
    10,319.54x = 79,804,224.77
  5. Step 5: Solve for x
    x = 79,804,224.77/10,319.54
  6. Step 6: Final answer
    x = 7,733.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.