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Finding the Fourth Proportional to 8,206.86, 11,325.48 and 4,670.10

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Solution

The fourth proportional to 8,206.86, 11,325.48 and 4,670.10 is: 6,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.86 : 11,325.48 = 4,670.10 : x
  2. Step 2: Convert to fraction form
    8,206.86/11,325.48 = 4,670.10/x
  3. Step 3: Cross multiply
    8,206.86x = 11,325.48 × 4,670.10
  4. Step 4: Simplify right side
    8,206.86x = 52,891,124.15
  5. Step 5: Solve for x
    x = 52,891,124.15/8,206.86
  6. Step 6: Final answer
    x = 6,444.75

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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.