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Finding the Fourth Proportional to 10,336.68, 14,260.05 and 6,142.50

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Solution

The fourth proportional to 10,336.68, 14,260.05 and 6,142.50 is: 8,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.68 : 14,260.05 = 6,142.50 : x
  2. Step 2: Convert to fraction form
    10,336.68/14,260.05 = 6,142.50/x
  3. Step 3: Cross multiply
    10,336.68x = 14,260.05 × 6,142.50
  4. Step 4: Simplify right side
    10,336.68x = 87,592,357.13
  5. Step 5: Solve for x
    x = 87,592,357.13/10,336.68
  6. Step 6: Final answer
    x = 8,473.94

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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.