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Finding the Fourth Proportional to 8,444.30, 11,656.05 and 5,800.46

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Solution

The fourth proportional to 8,444.30, 11,656.05 and 5,800.46 is: 8,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.30 : 11,656.05 = 5,800.46 : x
  2. Step 2: Convert to fraction form
    8,444.30/11,656.05 = 5,800.46/x
  3. Step 3: Cross multiply
    8,444.30x = 11,656.05 × 5,800.46
  4. Step 4: Simplify right side
    8,444.30x = 67,610,451.78
  5. Step 5: Solve for x
    x = 67,610,451.78/8,444.30
  6. Step 6: Final answer
    x = 8,006.64

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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.