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Finding the Fourth Proportional to 7,798.16, 11,692.77 and 4,636.93

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Solution

The fourth proportional to 7,798.16, 11,692.77 and 4,636.93 is: 6,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.16 : 11,692.77 = 4,636.93 : x
  2. Step 2: Convert to fraction form
    7,798.16/11,692.77 = 4,636.93/x
  3. Step 3: Cross multiply
    7,798.16x = 11,692.77 × 4,636.93
  4. Step 4: Simplify right side
    7,798.16x = 54,218,556.00
  5. Step 5: Solve for x
    x = 54,218,556.00/7,798.16
  6. Step 6: Final answer
    x = 6,952.74

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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.