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Finding the Fourth Proportional to 8,590.89, 11,854.35 and 4,813.68

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Solution

The fourth proportional to 8,590.89, 11,854.35 and 4,813.68 is: 6,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.89 : 11,854.35 = 4,813.68 : x
  2. Step 2: Convert to fraction form
    8,590.89/11,854.35 = 4,813.68/x
  3. Step 3: Cross multiply
    8,590.89x = 11,854.35 × 4,813.68
  4. Step 4: Simplify right side
    8,590.89x = 57,063,047.51
  5. Step 5: Solve for x
    x = 57,063,047.51/8,590.89
  6. Step 6: Final answer
    x = 6,642.27

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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.