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Finding the Fourth Proportional to 6,277.77, 8,658.78 and 5,332.07

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Solution

The fourth proportional to 6,277.77, 8,658.78 and 5,332.07 is: 7,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.77 : 8,658.78 = 5,332.07 : x
  2. Step 2: Convert to fraction form
    6,277.77/8,658.78 = 5,332.07/x
  3. Step 3: Cross multiply
    6,277.77x = 8,658.78 × 5,332.07
  4. Step 4: Simplify right side
    6,277.77x = 46,169,221.07
  5. Step 5: Solve for x
    x = 46,169,221.07/6,277.77
  6. Step 6: Final answer
    x = 7,354.40

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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.