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Finding the Fourth Proportional to 8,614.58, 11,895.12 and 7,021.46

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Solution

The fourth proportional to 8,614.58, 11,895.12 and 7,021.46 is: 9,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.58 : 11,895.12 = 7,021.46 : x
  2. Step 2: Convert to fraction form
    8,614.58/11,895.12 = 7,021.46/x
  3. Step 3: Cross multiply
    8,614.58x = 11,895.12 × 7,021.46
  4. Step 4: Simplify right side
    8,614.58x = 83,521,109.28
  5. Step 5: Solve for x
    x = 83,521,109.28/8,614.58
  6. Step 6: Final answer
    x = 9,695.32

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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.