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Finding the Fourth Proportional to 11,405.91, 15,735.31 and 7,154.07

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Solution

The fourth proportional to 11,405.91, 15,735.31 and 7,154.07 is: 9,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.91 : 15,735.31 = 7,154.07 : x
  2. Step 2: Convert to fraction form
    11,405.91/15,735.31 = 7,154.07/x
  3. Step 3: Cross multiply
    11,405.91x = 15,735.31 × 7,154.07
  4. Step 4: Simplify right side
    11,405.91x = 112,571,561.07
  5. Step 5: Solve for x
    x = 112,571,561.07/11,405.91
  6. Step 6: Final answer
    x = 9,869.58

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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.