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Finding the Fourth Proportional to 10,074.64, 13,905.26 and 5,599.96

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Solution

The fourth proportional to 10,074.64, 13,905.26 and 5,599.96 is: 7,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.64 : 13,905.26 = 5,599.96 : x
  2. Step 2: Convert to fraction form
    10,074.64/13,905.26 = 5,599.96/x
  3. Step 3: Cross multiply
    10,074.64x = 13,905.26 × 5,599.96
  4. Step 4: Simplify right side
    10,074.64x = 77,868,899.79
  5. Step 5: Solve for x
    x = 77,868,899.79/10,074.64
  6. Step 6: Final answer
    x = 7,729.20

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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.