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Finding the Fourth Proportional to 8,583.40, 12,858.90 and 4,409.20

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Solution

The fourth proportional to 8,583.40, 12,858.90 and 4,409.20 is: 6,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.40 : 12,858.90 = 4,409.20 : x
  2. Step 2: Convert to fraction form
    8,583.40/12,858.90 = 4,409.20/x
  3. Step 3: Cross multiply
    8,583.40x = 12,858.90 × 4,409.20
  4. Step 4: Simplify right side
    8,583.40x = 56,697,461.88
  5. Step 5: Solve for x
    x = 56,697,461.88/8,583.40
  6. Step 6: Final answer
    x = 6,605.48

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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.