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Finding the Fourth Proportional to 7,888.26, 11,835.08 and 3,508.77

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Solution

The fourth proportional to 7,888.26, 11,835.08 and 3,508.77 is: 5,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.26 : 11,835.08 = 3,508.77 : x
  2. Step 2: Convert to fraction form
    7,888.26/11,835.08 = 3,508.77/x
  3. Step 3: Cross multiply
    7,888.26x = 11,835.08 × 3,508.77
  4. Step 4: Simplify right side
    7,888.26x = 41,526,573.65
  5. Step 5: Solve for x
    x = 41,526,573.65/7,888.26
  6. Step 6: Final answer
    x = 5,264.35

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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.