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Finding the Fourth Proportional to 10,573.90, 14,593.54 and 6,096.78

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Solution

The fourth proportional to 10,573.90, 14,593.54 and 6,096.78 is: 8,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.90 : 14,593.54 = 6,096.78 : x
  2. Step 2: Convert to fraction form
    10,573.90/14,593.54 = 6,096.78/x
  3. Step 3: Cross multiply
    10,573.90x = 14,593.54 × 6,096.78
  4. Step 4: Simplify right side
    10,573.90x = 88,973,602.80
  5. Step 5: Solve for x
    x = 88,973,602.80/10,573.90
  6. Step 6: Final answer
    x = 8,414.45

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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.