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Finding the Fourth Proportional to 8,490.96, 12,733.72 and 5,886

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Solution

The fourth proportional to 8,490.96, 12,733.72 and 5,886 is: 8,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.96 : 12,733.72 = 5,886 : x
  2. Step 2: Convert to fraction form
    8,490.96/12,733.72 = 5,886/x
  3. Step 3: Cross multiply
    8,490.96x = 12,733.72 × 5,886
  4. Step 4: Simplify right side
    8,490.96x = 74,950,675.92
  5. Step 5: Solve for x
    x = 74,950,675.92/8,490.96
  6. Step 6: Final answer
    x = 8,827.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.