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Finding the Fourth Proportional to 11,683.84, 17,525.76 and 6,210.56

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Solution

The fourth proportional to 11,683.84, 17,525.76 and 6,210.56 is: 9,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.84 : 17,525.76 = 6,210.56 : x
  2. Step 2: Convert to fraction form
    11,683.84/17,525.76 = 6,210.56/x
  3. Step 3: Cross multiply
    11,683.84x = 17,525.76 × 6,210.56
  4. Step 4: Simplify right side
    11,683.84x = 108,844,784.03
  5. Step 5: Solve for x
    x = 108,844,784.03/11,683.84
  6. Step 6: Final answer
    x = 9,315.84

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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.