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Finding the Fourth Proportional to 11,870.73, 17,808.07 and 5,296.67

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Solution

The fourth proportional to 11,870.73, 17,808.07 and 5,296.67 is: 7,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.73 : 17,808.07 = 5,296.67 : x
  2. Step 2: Convert to fraction form
    11,870.73/17,808.07 = 5,296.67/x
  3. Step 3: Cross multiply
    11,870.73x = 17,808.07 × 5,296.67
  4. Step 4: Simplify right side
    11,870.73x = 94,323,470.13
  5. Step 5: Solve for x
    x = 94,323,470.13/11,870.73
  6. Step 6: Final answer
    x = 7,945.89

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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.