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Finding the Fourth Proportional to 8,277.90, 11,429.49 and 5,095.50

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Solution

The fourth proportional to 8,277.90, 11,429.49 and 5,095.50 is: 7,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.90 : 11,429.49 = 5,095.50 : x
  2. Step 2: Convert to fraction form
    8,277.90/11,429.49 = 5,095.50/x
  3. Step 3: Cross multiply
    8,277.90x = 11,429.49 × 5,095.50
  4. Step 4: Simplify right side
    8,277.90x = 58,238,966.30
  5. Step 5: Solve for x
    x = 58,238,966.30/8,277.90
  6. Step 6: Final answer
    x = 7,035.48

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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.