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Finding the Fourth Proportional to 10,349.40, 15,524.10 and 6,194.10

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Solution

The fourth proportional to 10,349.40, 15,524.10 and 6,194.10 is: 9,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.40 : 15,524.10 = 6,194.10 : x
  2. Step 2: Convert to fraction form
    10,349.40/15,524.10 = 6,194.10/x
  3. Step 3: Cross multiply
    10,349.40x = 15,524.10 × 6,194.10
  4. Step 4: Simplify right side
    10,349.40x = 96,157,827.81
  5. Step 5: Solve for x
    x = 96,157,827.81/10,349.40
  6. Step 6: Final answer
    x = 9,291.15

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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.