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Finding the Fourth Proportional to 11,610.69, 16,023.75 and 6,575.80

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Solution

The fourth proportional to 11,610.69, 16,023.75 and 6,575.80 is: 9,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.69 : 16,023.75 = 6,575.80 : x
  2. Step 2: Convert to fraction form
    11,610.69/16,023.75 = 6,575.80/x
  3. Step 3: Cross multiply
    11,610.69x = 16,023.75 × 6,575.80
  4. Step 4: Simplify right side
    11,610.69x = 105,368,935.19
  5. Step 5: Solve for x
    x = 105,368,935.19/11,610.69
  6. Step 6: Final answer
    x = 9,075.17

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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.