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Finding the Fourth Proportional to 12,710.86, 17,540.10 and 7,045.07

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Solution

The fourth proportional to 12,710.86, 17,540.10 and 7,045.07 is: 9,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.86 : 17,540.10 = 7,045.07 : x
  2. Step 2: Convert to fraction form
    12,710.86/17,540.10 = 7,045.07/x
  3. Step 3: Cross multiply
    12,710.86x = 17,540.10 × 7,045.07
  4. Step 4: Simplify right side
    12,710.86x = 123,571,144.61
  5. Step 5: Solve for x
    x = 123,571,144.61/12,710.86
  6. Step 6: Final answer
    x = 9,721.70

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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.