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Finding the Fourth Proportional to 12,053.36, 18,085.10 and 6,500

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Solution

The fourth proportional to 12,053.36, 18,085.10 and 6,500 is: 9,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.36 : 18,085.10 = 6,500 : x
  2. Step 2: Convert to fraction form
    12,053.36/18,085.10 = 6,500/x
  3. Step 3: Cross multiply
    12,053.36x = 18,085.10 × 6,500
  4. Step 4: Simplify right side
    12,053.36x = 117,553,150.00
  5. Step 5: Solve for x
    x = 117,553,150.00/12,053.36
  6. Step 6: Final answer
    x = 9,752.73

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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.