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Finding the Fourth Proportional to 10,993.95, 15,171.66 and 6,455.75

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Solution

The fourth proportional to 10,993.95, 15,171.66 and 6,455.75 is: 8,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.95 : 15,171.66 = 6,455.75 : x
  2. Step 2: Convert to fraction form
    10,993.95/15,171.66 = 6,455.75/x
  3. Step 3: Cross multiply
    10,993.95x = 15,171.66 × 6,455.75
  4. Step 4: Simplify right side
    10,993.95x = 97,944,368.19
  5. Step 5: Solve for x
    x = 97,944,368.19/10,993.95
  6. Step 6: Final answer
    x = 8,908.93

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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.