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Finding the Fourth Proportional to 10,210.54, 14,089.52 and 6,232.64

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Solution

The fourth proportional to 10,210.54, 14,089.52 and 6,232.64 is: 8,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.54 : 14,089.52 = 6,232.64 : x
  2. Step 2: Convert to fraction form
    10,210.54/14,089.52 = 6,232.64/x
  3. Step 3: Cross multiply
    10,210.54x = 14,089.52 × 6,232.64
  4. Step 4: Simplify right side
    10,210.54x = 87,814,905.93
  5. Step 5: Solve for x
    x = 87,814,905.93/10,210.54
  6. Step 6: Final answer
    x = 8,600.42

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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.