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Finding the Fourth Proportional to 10,319.64, 14,241.06 and 5,603.97

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Solution

The fourth proportional to 10,319.64, 14,241.06 and 5,603.97 is: 7,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.64 : 14,241.06 = 5,603.97 : x
  2. Step 2: Convert to fraction form
    10,319.64/14,241.06 = 5,603.97/x
  3. Step 3: Cross multiply
    10,319.64x = 14,241.06 × 5,603.97
  4. Step 4: Simplify right side
    10,319.64x = 79,806,473.01
  5. Step 5: Solve for x
    x = 79,806,473.01/10,319.64
  6. Step 6: Final answer
    x = 7,733.46

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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.