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Finding the Fourth Proportional to 11,888.13, 16,405.84 and 6,510.65

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Solution

The fourth proportional to 11,888.13, 16,405.84 and 6,510.65 is: 8,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.13 : 16,405.84 = 6,510.65 : x
  2. Step 2: Convert to fraction form
    11,888.13/16,405.84 = 6,510.65/x
  3. Step 3: Cross multiply
    11,888.13x = 16,405.84 × 6,510.65
  4. Step 4: Simplify right side
    11,888.13x = 106,812,608.31
  5. Step 5: Solve for x
    x = 106,812,608.31/11,888.13
  6. Step 6: Final answer
    x = 8,984.81

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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.