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Finding the Fourth Proportional to 10,335.86, 14,263.54 and 6,144.14

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Solution

The fourth proportional to 10,335.86, 14,263.54 and 6,144.14 is: 8,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.86 : 14,263.54 = 6,144.14 : x
  2. Step 2: Convert to fraction form
    10,335.86/14,263.54 = 6,144.14/x
  3. Step 3: Cross multiply
    10,335.86x = 14,263.54 × 6,144.14
  4. Step 4: Simplify right side
    10,335.86x = 87,637,186.66
  5. Step 5: Solve for x
    x = 87,637,186.66/10,335.86
  6. Step 6: Final answer
    x = 8,478.94

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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.