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Finding the Fourth Proportional to 8,435.16, 11,641.14 and 6,207.24

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Solution

The fourth proportional to 8,435.16, 11,641.14 and 6,207.24 is: 8,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.16 : 11,641.14 = 6,207.24 : x
  2. Step 2: Convert to fraction form
    8,435.16/11,641.14 = 6,207.24/x
  3. Step 3: Cross multiply
    8,435.16x = 11,641.14 × 6,207.24
  4. Step 4: Simplify right side
    8,435.16x = 72,259,349.85
  5. Step 5: Solve for x
    x = 72,259,349.85/8,435.16
  6. Step 6: Final answer
    x = 8,566.45

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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.