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Finding the Fourth Proportional to 8,926.64, 13,372.64 and 6,870.32

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Solution

The fourth proportional to 8,926.64, 13,372.64 and 6,870.32 is: 10,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.64 : 13,372.64 = 6,870.32 : x
  2. Step 2: Convert to fraction form
    8,926.64/13,372.64 = 6,870.32/x
  3. Step 3: Cross multiply
    8,926.64x = 13,372.64 × 6,870.32
  4. Step 4: Simplify right side
    8,926.64x = 91,874,316.04
  5. Step 5: Solve for x
    x = 91,874,316.04/8,926.64
  6. Step 6: Final answer
    x = 10,292.15

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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.