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Finding the Fourth Proportional to 8,184.58, 11,294.80 and 4,647.87

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Solution

The fourth proportional to 8,184.58, 11,294.80 and 4,647.87 is: 6,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.58 : 11,294.80 = 4,647.87 : x
  2. Step 2: Convert to fraction form
    8,184.58/11,294.80 = 4,647.87/x
  3. Step 3: Cross multiply
    8,184.58x = 11,294.80 × 4,647.87
  4. Step 4: Simplify right side
    8,184.58x = 52,496,762.08
  5. Step 5: Solve for x
    x = 52,496,762.08/8,184.58
  6. Step 6: Final answer
    x = 6,414.11

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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.