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Finding the Fourth Proportional to 8,570.98, 12,835.71 and 5,931.09

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Solution

The fourth proportional to 8,570.98, 12,835.71 and 5,931.09 is: 8,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.98 : 12,835.71 = 5,931.09 : x
  2. Step 2: Convert to fraction form
    8,570.98/12,835.71 = 5,931.09/x
  3. Step 3: Cross multiply
    8,570.98x = 12,835.71 × 5,931.09
  4. Step 4: Simplify right side
    8,570.98x = 76,129,751.22
  5. Step 5: Solve for x
    x = 76,129,751.22/8,570.98
  6. Step 6: Final answer
    x = 8,882.27

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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.