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Finding the Fourth Proportional to 7,737.08, 10,636.11 and 6,656.40

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Solution

The fourth proportional to 7,737.08, 10,636.11 and 6,656.40 is: 9,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.08 : 10,636.11 = 6,656.40 : x
  2. Step 2: Convert to fraction form
    7,737.08/10,636.11 = 6,656.40/x
  3. Step 3: Cross multiply
    7,737.08x = 10,636.11 × 6,656.40
  4. Step 4: Simplify right side
    7,737.08x = 70,798,169.32
  5. Step 5: Solve for x
    x = 70,798,169.32/7,737.08
  6. Step 6: Final answer
    x = 9,150.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.