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Finding the Fourth Proportional to 10,392.48, 14,342.40 and 6,200.64

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Solution

The fourth proportional to 10,392.48, 14,342.40 and 6,200.64 is: 8,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.48 : 14,342.40 = 6,200.64 : x
  2. Step 2: Convert to fraction form
    10,392.48/14,342.40 = 6,200.64/x
  3. Step 3: Cross multiply
    10,392.48x = 14,342.40 × 6,200.64
  4. Step 4: Simplify right side
    10,392.48x = 88,932,059.14
  5. Step 5: Solve for x
    x = 88,932,059.14/10,392.48
  6. Step 6: Final answer
    x = 8,557.35

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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.