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Finding the Fourth Proportional to 8,646.72, 11,931.78 and 5,109.30

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Solution

The fourth proportional to 8,646.72, 11,931.78 and 5,109.30 is: 7,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.72 : 11,931.78 = 5,109.30 : x
  2. Step 2: Convert to fraction form
    8,646.72/11,931.78 = 5,109.30/x
  3. Step 3: Cross multiply
    8,646.72x = 11,931.78 × 5,109.30
  4. Step 4: Simplify right side
    8,646.72x = 60,963,043.55
  5. Step 5: Solve for x
    x = 60,963,043.55/8,646.72
  6. Step 6: Final answer
    x = 7,050.42

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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.