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Finding the Fourth Proportional to 10,212.80, 14,095.86 and 6,233.06

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Solution

The fourth proportional to 10,212.80, 14,095.86 and 6,233.06 is: 8,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.80 : 14,095.86 = 6,233.06 : x
  2. Step 2: Convert to fraction form
    10,212.80/14,095.86 = 6,233.06/x
  3. Step 3: Cross multiply
    10,212.80x = 14,095.86 × 6,233.06
  4. Step 4: Simplify right side
    10,212.80x = 87,860,341.13
  5. Step 5: Solve for x
    x = 87,860,341.13/10,212.80
  6. Step 6: Final answer
    x = 8,602.96

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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.