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Finding the Fourth Proportional to 10,973.67, 15,143.75 and 6,194.78

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Solution

The fourth proportional to 10,973.67, 15,143.75 and 6,194.78 is: 8,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.67 : 15,143.75 = 6,194.78 : x
  2. Step 2: Convert to fraction form
    10,973.67/15,143.75 = 6,194.78/x
  3. Step 3: Cross multiply
    10,973.67x = 15,143.75 × 6,194.78
  4. Step 4: Simplify right side
    10,973.67x = 93,812,199.63
  5. Step 5: Solve for x
    x = 93,812,199.63/10,973.67
  6. Step 6: Final answer
    x = 8,548.84

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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.