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Finding the Fourth Proportional to 10,057.59, 15,085.71 and 3,037.86

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Solution

The fourth proportional to 10,057.59, 15,085.71 and 3,037.86 is: 4,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.59 : 15,085.71 = 3,037.86 : x
  2. Step 2: Convert to fraction form
    10,057.59/15,085.71 = 3,037.86/x
  3. Step 3: Cross multiply
    10,057.59x = 15,085.71 × 3,037.86
  4. Step 4: Simplify right side
    10,057.59x = 45,828,274.98
  5. Step 5: Solve for x
    x = 45,828,274.98/10,057.59
  6. Step 6: Final answer
    x = 4,556.59

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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.