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Finding the Fourth Proportional to 6,710.40, 10,063.44 and 5,846.40

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Solution

The fourth proportional to 6,710.40, 10,063.44 and 5,846.40 is: 8,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.40 : 10,063.44 = 5,846.40 : x
  2. Step 2: Convert to fraction form
    6,710.40/10,063.44 = 5,846.40/x
  3. Step 3: Cross multiply
    6,710.40x = 10,063.44 × 5,846.40
  4. Step 4: Simplify right side
    6,710.40x = 58,834,895.62
  5. Step 5: Solve for x
    x = 58,834,895.62/6,710.40
  6. Step 6: Final answer
    x = 8,767.72

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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.