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Finding the Fourth Proportional to 10,361.61, 14,294.12 and 7,005.59

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Solution

The fourth proportional to 10,361.61, 14,294.12 and 7,005.59 is: 9,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.61 : 14,294.12 = 7,005.59 : x
  2. Step 2: Convert to fraction form
    10,361.61/14,294.12 = 7,005.59/x
  3. Step 3: Cross multiply
    10,361.61x = 14,294.12 × 7,005.59
  4. Step 4: Simplify right side
    10,361.61x = 100,138,637.63
  5. Step 5: Solve for x
    x = 100,138,637.63/10,361.61
  6. Step 6: Final answer
    x = 9,664.39

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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.