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Finding the Fourth Proportional to 7,315.86, 10,974.93 and 2,384.36

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Solution

The fourth proportional to 7,315.86, 10,974.93 and 2,384.36 is: 3,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.86 : 10,974.93 = 2,384.36 : x
  2. Step 2: Convert to fraction form
    7,315.86/10,974.93 = 2,384.36/x
  3. Step 3: Cross multiply
    7,315.86x = 10,974.93 × 2,384.36
  4. Step 4: Simplify right side
    7,315.86x = 26,168,129.22
  5. Step 5: Solve for x
    x = 26,168,129.22/7,315.86
  6. Step 6: Final answer
    x = 3,576.90

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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.