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Finding the Fourth Proportional to 11,007.10, 16,510.65 and 5,164.30

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Solution

The fourth proportional to 11,007.10, 16,510.65 and 5,164.30 is: 7,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.10 : 16,510.65 = 5,164.30 : x
  2. Step 2: Convert to fraction form
    11,007.10/16,510.65 = 5,164.30/x
  3. Step 3: Cross multiply
    11,007.10x = 16,510.65 × 5,164.30
  4. Step 4: Simplify right side
    11,007.10x = 85,265,949.80
  5. Step 5: Solve for x
    x = 85,265,949.80/11,007.10
  6. Step 6: Final answer
    x = 7,746.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.