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Finding the Fourth Proportional to 6,964.32, 10,445.52 and 4,044

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Solution

The fourth proportional to 6,964.32, 10,445.52 and 4,044 is: 6,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.32 : 10,445.52 = 4,044 : x
  2. Step 2: Convert to fraction form
    6,964.32/10,445.52 = 4,044/x
  3. Step 3: Cross multiply
    6,964.32x = 10,445.52 × 4,044
  4. Step 4: Simplify right side
    6,964.32x = 42,241,682.88
  5. Step 5: Solve for x
    x = 42,241,682.88/6,964.32
  6. Step 6: Final answer
    x = 6,065.44

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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.