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Finding the Fourth Proportional to 8,614.14, 11,889.55 and 5,468.50

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Solution

The fourth proportional to 8,614.14, 11,889.55 and 5,468.50 is: 7,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.14 : 11,889.55 = 5,468.50 : x
  2. Step 2: Convert to fraction form
    8,614.14/11,889.55 = 5,468.50/x
  3. Step 3: Cross multiply
    8,614.14x = 11,889.55 × 5,468.50
  4. Step 4: Simplify right side
    8,614.14x = 65,018,004.18
  5. Step 5: Solve for x
    x = 65,018,004.18/8,614.14
  6. Step 6: Final answer
    x = 7,547.82

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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.