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Finding the Fourth Proportional to 10,594.94, 15,917.04 and 7,691.76

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Solution

The fourth proportional to 10,594.94, 15,917.04 and 7,691.76 is: 11,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.94 : 15,917.04 = 7,691.76 : x
  2. Step 2: Convert to fraction form
    10,594.94/15,917.04 = 7,691.76/x
  3. Step 3: Cross multiply
    10,594.94x = 15,917.04 × 7,691.76
  4. Step 4: Simplify right side
    10,594.94x = 122,430,051.59
  5. Step 5: Solve for x
    x = 122,430,051.59/10,594.94
  6. Step 6: Final answer
    x = 11,555.53

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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.