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Finding the Fourth Proportional to 7,307.32, 10,965.44 and 3,412

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Solution

The fourth proportional to 7,307.32, 10,965.44 and 3,412 is: 5,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.32 : 10,965.44 = 3,412 : x
  2. Step 2: Convert to fraction form
    7,307.32/10,965.44 = 3,412/x
  3. Step 3: Cross multiply
    7,307.32x = 10,965.44 × 3,412
  4. Step 4: Simplify right side
    7,307.32x = 37,414,081.28
  5. Step 5: Solve for x
    x = 37,414,081.28/7,307.32
  6. Step 6: Final answer
    x = 5,120.08

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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.