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Finding the Fourth Proportional to 8,590.10, 11,854.34 and 5,232.91

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Solution

The fourth proportional to 8,590.10, 11,854.34 and 5,232.91 is: 7,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.10 : 11,854.34 = 5,232.91 : x
  2. Step 2: Convert to fraction form
    8,590.10/11,854.34 = 5,232.91/x
  3. Step 3: Cross multiply
    8,590.10x = 11,854.34 × 5,232.91
  4. Step 4: Simplify right side
    8,590.10x = 62,032,744.51
  5. Step 5: Solve for x
    x = 62,032,744.51/8,590.10
  6. Step 6: Final answer
    x = 7,221.42

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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.