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Finding the Fourth Proportional to 11,494.33, 15,875.52 and 9,202.70

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Solution

The fourth proportional to 11,494.33, 15,875.52 and 9,202.70 is: 12,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.33 : 15,875.52 = 9,202.70 : x
  2. Step 2: Convert to fraction form
    11,494.33/15,875.52 = 9,202.70/x
  3. Step 3: Cross multiply
    11,494.33x = 15,875.52 × 9,202.70
  4. Step 4: Simplify right side
    11,494.33x = 146,097,647.90
  5. Step 5: Solve for x
    x = 146,097,647.90/11,494.33
  6. Step 6: Final answer
    x = 12,710.41

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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.