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Finding the Fourth Proportional to 8,704.24, 12,011.64 and 4,978

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Solution

The fourth proportional to 8,704.24, 12,011.64 and 4,978 is: 6,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.24 : 12,011.64 = 4,978 : x
  2. Step 2: Convert to fraction form
    8,704.24/12,011.64 = 4,978/x
  3. Step 3: Cross multiply
    8,704.24x = 12,011.64 × 4,978
  4. Step 4: Simplify right side
    8,704.24x = 59,793,943.92
  5. Step 5: Solve for x
    x = 59,793,943.92/8,704.24
  6. Step 6: Final answer
    x = 6,869.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.