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Finding the Fourth Proportional to 8,590.10, 12,856.35 and 5,998.10

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Solution

The fourth proportional to 8,590.10, 12,856.35 and 5,998.10 is: 8,977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.10 : 12,856.35 = 5,998.10 : x
  2. Step 2: Convert to fraction form
    8,590.10/12,856.35 = 5,998.10/x
  3. Step 3: Cross multiply
    8,590.10x = 12,856.35 × 5,998.10
  4. Step 4: Simplify right side
    8,590.10x = 77,113,672.94
  5. Step 5: Solve for x
    x = 77,113,672.94/8,590.10
  6. Step 6: Final answer
    x = 8,977.04

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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.