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Finding the Fourth Proportional to 8,784.56, 13,178.67 and 3,590.44

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Solution

The fourth proportional to 8,784.56, 13,178.67 and 3,590.44 is: 5,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.56 : 13,178.67 = 3,590.44 : x
  2. Step 2: Convert to fraction form
    8,784.56/13,178.67 = 3,590.44/x
  3. Step 3: Cross multiply
    8,784.56x = 13,178.67 × 3,590.44
  4. Step 4: Simplify right side
    8,784.56x = 47,317,177.50
  5. Step 5: Solve for x
    x = 47,317,177.50/8,784.56
  6. Step 6: Final answer
    x = 5,386.40

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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.