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Finding the Fourth Proportional to 8,583.60, 12,046.20 and 8,583.60

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Solution

The fourth proportional to 8,583.60, 12,046.20 and 8,583.60 is: 12,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.60 : 12,046.20 = 8,583.60 : x
  2. Step 2: Convert to fraction form
    8,583.60/12,046.20 = 8,583.60/x
  3. Step 3: Cross multiply
    8,583.60x = 12,046.20 × 8,583.60
  4. Step 4: Simplify right side
    8,583.60x = 103,399,762.32
  5. Step 5: Solve for x
    x = 103,399,762.32/8,583.60
  6. Step 6: Final answer
    x = 12,046.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.