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Finding the Fourth Proportional to 10,637.40, 14,678.91 and 5,921.58

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Solution

The fourth proportional to 10,637.40, 14,678.91 and 5,921.58 is: 8,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.40 : 14,678.91 = 5,921.58 : x
  2. Step 2: Convert to fraction form
    10,637.40/14,678.91 = 5,921.58/x
  3. Step 3: Cross multiply
    10,637.40x = 14,678.91 × 5,921.58
  4. Step 4: Simplify right side
    10,637.40x = 86,922,339.88
  5. Step 5: Solve for x
    x = 86,922,339.88/10,637.40
  6. Step 6: Final answer
    x = 8,171.39

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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.