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Finding the Fourth Proportional to 8,107.65, 11,188.41 and 4,570.86

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Solution

The fourth proportional to 8,107.65, 11,188.41 and 4,570.86 is: 6,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.65 : 11,188.41 = 4,570.86 : x
  2. Step 2: Convert to fraction form
    8,107.65/11,188.41 = 4,570.86/x
  3. Step 3: Cross multiply
    8,107.65x = 11,188.41 × 4,570.86
  4. Step 4: Simplify right side
    8,107.65x = 51,140,632.88
  5. Step 5: Solve for x
    x = 51,140,632.88/8,107.65
  6. Step 6: Final answer
    x = 6,307.70

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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.