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Finding the Fourth Proportional to 7,564.99, 11,347.56 and 2,300.85

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Solution

The fourth proportional to 7,564.99, 11,347.56 and 2,300.85 is: 3,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.99 : 11,347.56 = 2,300.85 : x
  2. Step 2: Convert to fraction form
    7,564.99/11,347.56 = 2,300.85/x
  3. Step 3: Cross multiply
    7,564.99x = 11,347.56 × 2,300.85
  4. Step 4: Simplify right side
    7,564.99x = 26,109,084.61
  5. Step 5: Solve for x
    x = 26,109,084.61/7,564.99
  6. Step 6: Final answer
    x = 3,451.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.