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Finding the Fourth Proportional to 12,610.09, 17,405.76 and 7,575.13

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Solution

The fourth proportional to 12,610.09, 17,405.76 and 7,575.13 is: 10,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.09 : 17,405.76 = 7,575.13 : x
  2. Step 2: Convert to fraction form
    12,610.09/17,405.76 = 7,575.13/x
  3. Step 3: Cross multiply
    12,610.09x = 17,405.76 × 7,575.13
  4. Step 4: Simplify right side
    12,610.09x = 131,850,894.75
  5. Step 5: Solve for x
    x = 131,850,894.75/12,610.09
  6. Step 6: Final answer
    x = 10,455.98

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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.