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Finding the Fourth Proportional to 10,057.15, 15,085.73 and 7,465.15

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Solution

The fourth proportional to 10,057.15, 15,085.73 and 7,465.15 is: 11,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.15 : 15,085.73 = 7,465.15 : x
  2. Step 2: Convert to fraction form
    10,057.15/15,085.73 = 7,465.15/x
  3. Step 3: Cross multiply
    10,057.15x = 15,085.73 × 7,465.15
  4. Step 4: Simplify right side
    10,057.15x = 112,617,199.98
  5. Step 5: Solve for x
    x = 112,617,199.98/10,057.15
  6. Step 6: Final answer
    x = 11,197.73

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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.