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Finding the Fourth Proportional to 8,590.96, 12,893.51 and 3,666.16

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Solution

The fourth proportional to 8,590.96, 12,893.51 and 3,666.16 is: 5,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.96 : 12,893.51 = 3,666.16 : x
  2. Step 2: Convert to fraction form
    8,590.96/12,893.51 = 3,666.16/x
  3. Step 3: Cross multiply
    8,590.96x = 12,893.51 × 3,666.16
  4. Step 4: Simplify right side
    8,590.96x = 47,269,670.62
  5. Step 5: Solve for x
    x = 47,269,670.62/8,590.96
  6. Step 6: Final answer
    x = 5,502.26

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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.