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Finding the Fourth Proportional to 8,440, 12,655.36 and 2,890.24

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Solution

The fourth proportional to 8,440, 12,655.36 and 2,890.24 is: 4,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440 : 12,655.36 = 2,890.24 : x
  2. Step 2: Convert to fraction form
    8,440/12,655.36 = 2,890.24/x
  3. Step 3: Cross multiply
    8,440x = 12,655.36 × 2,890.24
  4. Step 4: Simplify right side
    8,440x = 36,577,027.69
  5. Step 5: Solve for x
    x = 36,577,027.69/8,440
  6. Step 6: Final answer
    x = 4,333.77

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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.