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Finding the Fourth Proportional to 11,790.42, 17,688.42 and 3,470.46

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Solution

The fourth proportional to 11,790.42, 17,688.42 and 3,470.46 is: 5,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.42 : 17,688.42 = 3,470.46 : x
  2. Step 2: Convert to fraction form
    11,790.42/17,688.42 = 3,470.46/x
  3. Step 3: Cross multiply
    11,790.42x = 17,688.42 × 3,470.46
  4. Step 4: Simplify right side
    11,790.42x = 61,386,954.07
  5. Step 5: Solve for x
    x = 61,386,954.07/11,790.42
  6. Step 6: Final answer
    x = 5,206.51

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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.