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Finding the Fourth Proportional to 12,778.13, 17,632.28 and 7,111.46

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Solution

The fourth proportional to 12,778.13, 17,632.28 and 7,111.46 is: 9,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.13 : 17,632.28 = 7,111.46 : x
  2. Step 2: Convert to fraction form
    12,778.13/17,632.28 = 7,111.46/x
  3. Step 3: Cross multiply
    12,778.13x = 17,632.28 × 7,111.46
  4. Step 4: Simplify right side
    12,778.13x = 125,391,130.21
  5. Step 5: Solve for x
    x = 125,391,130.21/12,778.13
  6. Step 6: Final answer
    x = 9,812.95

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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.