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Finding the Fourth Proportional to 8,235.94, 11,366.68 and 4,699.84

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Solution

The fourth proportional to 8,235.94, 11,366.68 and 4,699.84 is: 6,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.94 : 11,366.68 = 4,699.84 : x
  2. Step 2: Convert to fraction form
    8,235.94/11,366.68 = 4,699.84/x
  3. Step 3: Cross multiply
    8,235.94x = 11,366.68 × 4,699.84
  4. Step 4: Simplify right side
    8,235.94x = 53,421,577.33
  5. Step 5: Solve for x
    x = 53,421,577.33/8,235.94
  6. Step 6: Final answer
    x = 6,486.40

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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.