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Finding the Fourth Proportional to 8,308.50, 11,465.76 and 5,164.68

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Solution

The fourth proportional to 8,308.50, 11,465.76 and 5,164.68 is: 7,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.50 : 11,465.76 = 5,164.68 : x
  2. Step 2: Convert to fraction form
    8,308.50/11,465.76 = 5,164.68/x
  3. Step 3: Cross multiply
    8,308.50x = 11,465.76 × 5,164.68
  4. Step 4: Simplify right side
    8,308.50x = 59,216,981.36
  5. Step 5: Solve for x
    x = 59,216,981.36/8,308.50
  6. Step 6: Final answer
    x = 7,127.28

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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.