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Finding the Fourth Proportional to 10,783.80, 14,881.23 and 6,003.93

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Solution

The fourth proportional to 10,783.80, 14,881.23 and 6,003.93 is: 8,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.80 : 14,881.23 = 6,003.93 : x
  2. Step 2: Convert to fraction form
    10,783.80/14,881.23 = 6,003.93/x
  3. Step 3: Cross multiply
    10,783.80x = 14,881.23 × 6,003.93
  4. Step 4: Simplify right side
    10,783.80x = 89,345,860.30
  5. Step 5: Solve for x
    x = 89,345,860.30/10,783.80
  6. Step 6: Final answer
    x = 8,285.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.