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Finding the Fourth Proportional to 12,913, 17,821.83 and 7,610.74

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Solution

The fourth proportional to 12,913, 17,821.83 and 7,610.74 is: 10,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913 : 17,821.83 = 7,610.74 : x
  2. Step 2: Convert to fraction form
    12,913/17,821.83 = 7,610.74/x
  3. Step 3: Cross multiply
    12,913x = 17,821.83 × 7,610.74
  4. Step 4: Simplify right side
    12,913x = 135,637,314.45
  5. Step 5: Solve for x
    x = 135,637,314.45/12,913
  6. Step 6: Final answer
    x = 10,503.94

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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.