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Finding the Fourth Proportional to 10,597.08, 15,876 and 5,325.96

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Solution

The fourth proportional to 10,597.08, 15,876 and 5,325.96 is: 7,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.08 : 15,876 = 5,325.96 : x
  2. Step 2: Convert to fraction form
    10,597.08/15,876 = 5,325.96/x
  3. Step 3: Cross multiply
    10,597.08x = 15,876 × 5,325.96
  4. Step 4: Simplify right side
    10,597.08x = 84,554,940.96
  5. Step 5: Solve for x
    x = 84,554,940.96/10,597.08
  6. Step 6: Final answer
    x = 7,979.08

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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.