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Finding the Fourth Proportional to 10,564.56, 15,832.08 and 8,996.40

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Solution

The fourth proportional to 10,564.56, 15,832.08 and 8,996.40 is: 13,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.56 : 15,832.08 = 8,996.40 : x
  2. Step 2: Convert to fraction form
    10,564.56/15,832.08 = 8,996.40/x
  3. Step 3: Cross multiply
    10,564.56x = 15,832.08 × 8,996.40
  4. Step 4: Simplify right side
    10,564.56x = 142,431,724.51
  5. Step 5: Solve for x
    x = 142,431,724.51/10,564.56
  6. Step 6: Final answer
    x = 13,482.03

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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.