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Finding the Fourth Proportional to 8,590.96, 11,854.74 and 4,812.94

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Solution

The fourth proportional to 8,590.96, 11,854.74 and 4,812.94 is: 6,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.96 : 11,854.74 = 4,812.94 : x
  2. Step 2: Convert to fraction form
    8,590.96/11,854.74 = 4,812.94/x
  3. Step 3: Cross multiply
    8,590.96x = 11,854.74 × 4,812.94
  4. Step 4: Simplify right side
    8,590.96x = 57,056,152.34
  5. Step 5: Solve for x
    x = 57,056,152.34/8,590.96
  6. Step 6: Final answer
    x = 6,641.42

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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.