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Finding the Fourth Proportional to 10,162.95, 15,215.67 and 6,455.99

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Solution

The fourth proportional to 10,162.95, 15,215.67 and 6,455.99 is: 9,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.95 : 15,215.67 = 6,455.99 : x
  2. Step 2: Convert to fraction form
    10,162.95/15,215.67 = 6,455.99/x
  3. Step 3: Cross multiply
    10,162.95x = 15,215.67 × 6,455.99
  4. Step 4: Simplify right side
    10,162.95x = 98,232,137.28
  5. Step 5: Solve for x
    x = 98,232,137.28/10,162.95
  6. Step 6: Final answer
    x = 9,665.71

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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.