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Finding the Fourth Proportional to 11,768.76, 17,648.64 and 4,746.36

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Solution

The fourth proportional to 11,768.76, 17,648.64 and 4,746.36 is: 7,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.76 : 17,648.64 = 4,746.36 : x
  2. Step 2: Convert to fraction form
    11,768.76/17,648.64 = 4,746.36/x
  3. Step 3: Cross multiply
    11,768.76x = 17,648.64 × 4,746.36
  4. Step 4: Simplify right side
    11,768.76x = 83,766,798.95
  5. Step 5: Solve for x
    x = 83,766,798.95/11,768.76
  6. Step 6: Final answer
    x = 7,117.73

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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.