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Finding the Fourth Proportional to 8,878.64, 13,297.21 and 7,017.26

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Solution

The fourth proportional to 8,878.64, 13,297.21 and 7,017.26 is: 10,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,878.64 : 13,297.21 = 7,017.26 : x
  2. Step 2: Convert to fraction form
    8,878.64/13,297.21 = 7,017.26/x
  3. Step 3: Cross multiply
    8,878.64x = 13,297.21 × 7,017.26
  4. Step 4: Simplify right side
    8,878.64x = 93,309,979.84
  5. Step 5: Solve for x
    x = 93,309,979.84/8,878.64
  6. Step 6: Final answer
    x = 10,509.49

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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.