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Finding the Fourth Proportional to 8,364.95, 11,544.59 and 5,007.76

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Solution

The fourth proportional to 8,364.95, 11,544.59 and 5,007.76 is: 6,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.95 : 11,544.59 = 5,007.76 : x
  2. Step 2: Convert to fraction form
    8,364.95/11,544.59 = 5,007.76/x
  3. Step 3: Cross multiply
    8,364.95x = 11,544.59 × 5,007.76
  4. Step 4: Simplify right side
    8,364.95x = 57,812,548.54
  5. Step 5: Solve for x
    x = 57,812,548.54/8,364.95
  6. Step 6: Final answer
    x = 6,911.29

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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.