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Finding the Fourth Proportional to 10,187.70, 15,299.16 and 6,053.68

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Solution

The fourth proportional to 10,187.70, 15,299.16 and 6,053.68 is: 9,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.70 : 15,299.16 = 6,053.68 : x
  2. Step 2: Convert to fraction form
    10,187.70/15,299.16 = 6,053.68/x
  3. Step 3: Cross multiply
    10,187.70x = 15,299.16 × 6,053.68
  4. Step 4: Simplify right side
    10,187.70x = 92,616,218.91
  5. Step 5: Solve for x
    x = 92,616,218.91/10,187.70
  6. Step 6: Final answer
    x = 9,090.98

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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.