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Finding the Fourth Proportional to 7,656.84, 11,481.17 and 2,657.93

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Solution

The fourth proportional to 7,656.84, 11,481.17 and 2,657.93 is: 3,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.84 : 11,481.17 = 2,657.93 : x
  2. Step 2: Convert to fraction form
    7,656.84/11,481.17 = 2,657.93/x
  3. Step 3: Cross multiply
    7,656.84x = 11,481.17 × 2,657.93
  4. Step 4: Simplify right side
    7,656.84x = 30,516,075.48
  5. Step 5: Solve for x
    x = 30,516,075.48/7,656.84
  6. Step 6: Final answer
    x = 3,985.47

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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.