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Finding the Fourth Proportional to 7,890.26, 10,888.16 and 5,242.50

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Solution

The fourth proportional to 7,890.26, 10,888.16 and 5,242.50 is: 7,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.26 : 10,888.16 = 5,242.50 : x
  2. Step 2: Convert to fraction form
    7,890.26/10,888.16 = 5,242.50/x
  3. Step 3: Cross multiply
    7,890.26x = 10,888.16 × 5,242.50
  4. Step 4: Simplify right side
    7,890.26x = 57,081,178.80
  5. Step 5: Solve for x
    x = 57,081,178.80/7,890.26
  6. Step 6: Final answer
    x = 7,234.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.