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Finding the Fourth Proportional to 26,276.32, 39,410.16 and 7,804

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Solution

The fourth proportional to 26,276.32, 39,410.16 and 7,804 is: 11,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,276.32 : 39,410.16 = 7,804 : x
  2. Step 2: Convert to fraction form
    26,276.32/39,410.16 = 7,804/x
  3. Step 3: Cross multiply
    26,276.32x = 39,410.16 × 7,804
  4. Step 4: Simplify right side
    26,276.32x = 307,556,888.64
  5. Step 5: Solve for x
    x = 307,556,888.64/26,276.32
  6. Step 6: Final answer
    x = 11,704.72

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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.