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Finding the Fourth Proportional to 11,389.33, 15,724.58 and 7,146.20

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Solution

The fourth proportional to 11,389.33, 15,724.58 and 7,146.20 is: 9,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.33 : 15,724.58 = 7,146.20 : x
  2. Step 2: Convert to fraction form
    11,389.33/15,724.58 = 7,146.20/x
  3. Step 3: Cross multiply
    11,389.33x = 15,724.58 × 7,146.20
  4. Step 4: Simplify right side
    11,389.33x = 112,370,993.60
  5. Step 5: Solve for x
    x = 112,370,993.60/11,389.33
  6. Step 6: Final answer
    x = 9,866.34

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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.