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Finding the Fourth Proportional to 11,202.12, 15,458.70 and 7,012.68

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Solution

The fourth proportional to 11,202.12, 15,458.70 and 7,012.68 is: 9,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.12 : 15,458.70 = 7,012.68 : x
  2. Step 2: Convert to fraction form
    11,202.12/15,458.70 = 7,012.68/x
  3. Step 3: Cross multiply
    11,202.12x = 15,458.70 × 7,012.68
  4. Step 4: Simplify right side
    11,202.12x = 108,406,916.32
  5. Step 5: Solve for x
    x = 108,406,916.32/11,202.12
  6. Step 6: Final answer
    x = 9,677.36

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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.