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Finding the Fourth Proportional to 11,574, 17,384.31 and 6,903.14

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Solution

The fourth proportional to 11,574, 17,384.31 and 6,903.14 is: 10,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574 : 17,384.31 = 6,903.14 : x
  2. Step 2: Convert to fraction form
    11,574/17,384.31 = 6,903.14/x
  3. Step 3: Cross multiply
    11,574x = 17,384.31 × 6,903.14
  4. Step 4: Simplify right side
    11,574x = 120,006,238.81
  5. Step 5: Solve for x
    x = 120,006,238.81/11,574
  6. Step 6: Final answer
    x = 10,368.61

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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.