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Finding the Fourth Proportional to 7,649.01, 10,528.52 and 5,656.11

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Solution

The fourth proportional to 7,649.01, 10,528.52 and 5,656.11 is: 7,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.01 : 10,528.52 = 5,656.11 : x
  2. Step 2: Convert to fraction form
    7,649.01/10,528.52 = 5,656.11/x
  3. Step 3: Cross multiply
    7,649.01x = 10,528.52 × 5,656.11
  4. Step 4: Simplify right side
    7,649.01x = 59,550,438.98
  5. Step 5: Solve for x
    x = 59,550,438.98/7,649.01
  6. Step 6: Final answer
    x = 7,785.38

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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.