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Finding the Fourth Proportional to 10,993.51, 15,170.32 and 7,014.20

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Solution

The fourth proportional to 10,993.51, 15,170.32 and 7,014.20 is: 9,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.51 : 15,170.32 = 7,014.20 : x
  2. Step 2: Convert to fraction form
    10,993.51/15,170.32 = 7,014.20/x
  3. Step 3: Cross multiply
    10,993.51x = 15,170.32 × 7,014.20
  4. Step 4: Simplify right side
    10,993.51x = 106,407,658.54
  5. Step 5: Solve for x
    x = 106,407,658.54/10,993.51
  6. Step 6: Final answer
    x = 9,679.13

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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.