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Finding the Fourth Proportional to 10,005.36, 14,980.68 and 7,234.80

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Solution

The fourth proportional to 10,005.36, 14,980.68 and 7,234.80 is: 10,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.36 : 14,980.68 = 7,234.80 : x
  2. Step 2: Convert to fraction form
    10,005.36/14,980.68 = 7,234.80/x
  3. Step 3: Cross multiply
    10,005.36x = 14,980.68 × 7,234.80
  4. Step 4: Simplify right side
    10,005.36x = 108,382,223.66
  5. Step 5: Solve for x
    x = 108,382,223.66/10,005.36
  6. Step 6: Final answer
    x = 10,832.42

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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.