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Finding the Fourth Proportional to 10,343.94, 15,496.35 and 6,114.54

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Solution

The fourth proportional to 10,343.94, 15,496.35 and 6,114.54 is: 9,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.94 : 15,496.35 = 6,114.54 : x
  2. Step 2: Convert to fraction form
    10,343.94/15,496.35 = 6,114.54/x
  3. Step 3: Cross multiply
    10,343.94x = 15,496.35 × 6,114.54
  4. Step 4: Simplify right side
    10,343.94x = 94,753,051.93
  5. Step 5: Solve for x
    x = 94,753,051.93/10,343.94
  6. Step 6: Final answer
    x = 9,160.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.