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Finding the Fourth Proportional to 11,225.99, 15,490.77 and 6,509.75

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Solution

The fourth proportional to 11,225.99, 15,490.77 and 6,509.75 is: 8,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.99 : 15,490.77 = 6,509.75 : x
  2. Step 2: Convert to fraction form
    11,225.99/15,490.77 = 6,509.75/x
  3. Step 3: Cross multiply
    11,225.99x = 15,490.77 × 6,509.75
  4. Step 4: Simplify right side
    11,225.99x = 100,841,040.01
  5. Step 5: Solve for x
    x = 100,841,040.01/11,225.99
  6. Step 6: Final answer
    x = 8,982.82

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