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Finding the Fourth Proportional to 10,464.16, 15,701.58 and 6,956.56

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Solution

The fourth proportional to 10,464.16, 15,701.58 and 6,956.56 is: 10,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.16 : 15,701.58 = 6,956.56 : x
  2. Step 2: Convert to fraction form
    10,464.16/15,701.58 = 6,956.56/x
  3. Step 3: Cross multiply
    10,464.16x = 15,701.58 × 6,956.56
  4. Step 4: Simplify right side
    10,464.16x = 109,228,983.36
  5. Step 5: Solve for x
    x = 109,228,983.36/10,464.16
  6. Step 6: Final answer
    x = 10,438.39

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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.