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Finding the Fourth Proportional to 10,964.99, 15,130.62 and 6,185.69

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Solution

The fourth proportional to 10,964.99, 15,130.62 and 6,185.69 is: 8,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.99 : 15,130.62 = 6,185.69 : x
  2. Step 2: Convert to fraction form
    10,964.99/15,130.62 = 6,185.69/x
  3. Step 3: Cross multiply
    10,964.99x = 15,130.62 × 6,185.69
  4. Step 4: Simplify right side
    10,964.99x = 93,593,324.83
  5. Step 5: Solve for x
    x = 93,593,324.83/10,964.99
  6. Step 6: Final answer
    x = 8,535.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.