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Finding the Fourth Proportional to 10,290.64, 15,427.32 and 6,994.48

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Solution

The fourth proportional to 10,290.64, 15,427.32 and 6,994.48 is: 10,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.64 : 15,427.32 = 6,994.48 : x
  2. Step 2: Convert to fraction form
    10,290.64/15,427.32 = 6,994.48/x
  3. Step 3: Cross multiply
    10,290.64x = 15,427.32 × 6,994.48
  4. Step 4: Simplify right side
    10,290.64x = 107,906,081.19
  5. Step 5: Solve for x
    x = 107,906,081.19/10,290.64
  6. Step 6: Final answer
    x = 10,485.85

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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.