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Finding the Fourth Proportional to 8,378.96, 12,564.76 and 4,216.36

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Solution

The fourth proportional to 8,378.96, 12,564.76 and 4,216.36 is: 6,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.96 : 12,564.76 = 4,216.36 : x
  2. Step 2: Convert to fraction form
    8,378.96/12,564.76 = 4,216.36/x
  3. Step 3: Cross multiply
    8,378.96x = 12,564.76 × 4,216.36
  4. Step 4: Simplify right side
    8,378.96x = 52,977,551.47
  5. Step 5: Solve for x
    x = 52,977,551.47/8,378.96
  6. Step 6: Final answer
    x = 6,322.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.