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Finding the Fourth Proportional to 7,751.68, 11,602.06 and 5,495.87

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Solution

The fourth proportional to 7,751.68, 11,602.06 and 5,495.87 is: 8,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.68 : 11,602.06 = 5,495.87 : x
  2. Step 2: Convert to fraction form
    7,751.68/11,602.06 = 5,495.87/x
  3. Step 3: Cross multiply
    7,751.68x = 11,602.06 × 5,495.87
  4. Step 4: Simplify right side
    7,751.68x = 63,763,428.76
  5. Step 5: Solve for x
    x = 63,763,428.76/7,751.68
  6. Step 6: Final answer
    x = 8,225.76

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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.