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Finding the Fourth Proportional to 8,580.52, 12,842.70 and 5,296.24

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Solution

The fourth proportional to 8,580.52, 12,842.70 and 5,296.24 is: 7,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.52 : 12,842.70 = 5,296.24 : x
  2. Step 2: Convert to fraction form
    8,580.52/12,842.70 = 5,296.24/x
  3. Step 3: Cross multiply
    8,580.52x = 12,842.70 × 5,296.24
  4. Step 4: Simplify right side
    8,580.52x = 68,018,021.45
  5. Step 5: Solve for x
    x = 68,018,021.45/8,580.52
  6. Step 6: Final answer
    x = 7,927.03

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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.