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Finding the Fourth Proportional to 10,167.16, 14,030.90 and 7,188.24

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Solution

The fourth proportional to 10,167.16, 14,030.90 and 7,188.24 is: 9,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.16 : 14,030.90 = 7,188.24 : x
  2. Step 2: Convert to fraction form
    10,167.16/14,030.90 = 7,188.24/x
  3. Step 3: Cross multiply
    10,167.16x = 14,030.90 × 7,188.24
  4. Step 4: Simplify right side
    10,167.16x = 100,857,476.62
  5. Step 5: Solve for x
    x = 100,857,476.62/10,167.16
  6. Step 6: Final answer
    x = 9,919.93

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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.