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Finding the Fourth Proportional to 8,530.50, 11,768.29 and 4,992.15

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Solution

The fourth proportional to 8,530.50, 11,768.29 and 4,992.15 is: 6,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.50 : 11,768.29 = 4,992.15 : x
  2. Step 2: Convert to fraction form
    8,530.50/11,768.29 = 4,992.15/x
  3. Step 3: Cross multiply
    8,530.50x = 11,768.29 × 4,992.15
  4. Step 4: Simplify right side
    8,530.50x = 58,749,068.92
  5. Step 5: Solve for x
    x = 58,749,068.92/8,530.50
  6. Step 6: Final answer
    x = 6,886.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.