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Finding the Fourth Proportional to 12,076.47, 16,661.55 and 7,294.63

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Solution

The fourth proportional to 12,076.47, 16,661.55 and 7,294.63 is: 10,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.47 : 16,661.55 = 7,294.63 : x
  2. Step 2: Convert to fraction form
    12,076.47/16,661.55 = 7,294.63/x
  3. Step 3: Cross multiply
    12,076.47x = 16,661.55 × 7,294.63
  4. Step 4: Simplify right side
    12,076.47x = 121,539,773.47
  5. Step 5: Solve for x
    x = 121,539,773.47/12,076.47
  6. Step 6: Final answer
    x = 10,064.18

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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.