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Finding the Fourth Proportional to 8,578.21, 12,864.58 and 4,417.67

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Solution

The fourth proportional to 8,578.21, 12,864.58 and 4,417.67 is: 6,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.21 : 12,864.58 = 4,417.67 : x
  2. Step 2: Convert to fraction form
    8,578.21/12,864.58 = 4,417.67/x
  3. Step 3: Cross multiply
    8,578.21x = 12,864.58 × 4,417.67
  4. Step 4: Simplify right side
    8,578.21x = 56,831,490.25
  5. Step 5: Solve for x
    x = 56,831,490.25/8,578.21
  6. Step 6: Final answer
    x = 6,625.10

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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.