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Finding the Fourth Proportional to 8,703.78, 13,056.41 and 2,781.51

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Solution

The fourth proportional to 8,703.78, 13,056.41 and 2,781.51 is: 4,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.78 : 13,056.41 = 2,781.51 : x
  2. Step 2: Convert to fraction form
    8,703.78/13,056.41 = 2,781.51/x
  3. Step 3: Cross multiply
    8,703.78x = 13,056.41 × 2,781.51
  4. Step 4: Simplify right side
    8,703.78x = 36,316,534.98
  5. Step 5: Solve for x
    x = 36,316,534.98/8,703.78
  6. Step 6: Final answer
    x = 4,172.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.