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Finding the Fourth Proportional to 10,275.25, 14,166.94 and 8,384.92

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Solution

The fourth proportional to 10,275.25, 14,166.94 and 8,384.92 is: 11,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.25 : 14,166.94 = 8,384.92 : x
  2. Step 2: Convert to fraction form
    10,275.25/14,166.94 = 8,384.92/x
  3. Step 3: Cross multiply
    10,275.25x = 14,166.94 × 8,384.92
  4. Step 4: Simplify right side
    10,275.25x = 118,788,658.54
  5. Step 5: Solve for x
    x = 118,788,658.54/10,275.25
  6. Step 6: Final answer
    x = 11,560.66

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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.