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Finding the Fourth Proportional to 8,412.84, 11,609.82 and 4,877.10

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Solution

The fourth proportional to 8,412.84, 11,609.82 and 4,877.10 is: 6,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.84 : 11,609.82 = 4,877.10 : x
  2. Step 2: Convert to fraction form
    8,412.84/11,609.82 = 4,877.10/x
  3. Step 3: Cross multiply
    8,412.84x = 11,609.82 × 4,877.10
  4. Step 4: Simplify right side
    8,412.84x = 56,622,253.12
  5. Step 5: Solve for x
    x = 56,622,253.12/8,412.84
  6. Step 6: Final answer
    x = 6,730.46

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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.