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Finding the Fourth Proportional to 12,913.36, 17,823.12 and 7,610

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Solution

The fourth proportional to 12,913.36, 17,823.12 and 7,610 is: 10,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.36 : 17,823.12 = 7,610 : x
  2. Step 2: Convert to fraction form
    12,913.36/17,823.12 = 7,610/x
  3. Step 3: Cross multiply
    12,913.36x = 17,823.12 × 7,610
  4. Step 4: Simplify right side
    12,913.36x = 135,633,943.20
  5. Step 5: Solve for x
    x = 135,633,943.20/12,913.36
  6. Step 6: Final answer
    x = 10,503.38

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Why These Related Problems?

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