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Finding the Fourth Proportional to 8,993.66, 13,465.06 and 4,767.28

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Solution

The fourth proportional to 8,993.66, 13,465.06 and 4,767.28 is: 7,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.66 : 13,465.06 = 4,767.28 : x
  2. Step 2: Convert to fraction form
    8,993.66/13,465.06 = 4,767.28/x
  3. Step 3: Cross multiply
    8,993.66x = 13,465.06 × 4,767.28
  4. Step 4: Simplify right side
    8,993.66x = 64,191,711.24
  5. Step 5: Solve for x
    x = 64,191,711.24/8,993.66
  6. Step 6: Final answer
    x = 7,137.44

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Why These Related Problems?

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