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Finding the Fourth Proportional to 10,358.50, 14,296.08 and 6,166.75

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Solution

The fourth proportional to 10,358.50, 14,296.08 and 6,166.75 is: 8,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.50 : 14,296.08 = 6,166.75 : x
  2. Step 2: Convert to fraction form
    10,358.50/14,296.08 = 6,166.75/x
  3. Step 3: Cross multiply
    10,358.50x = 14,296.08 × 6,166.75
  4. Step 4: Simplify right side
    10,358.50x = 88,160,351.34
  5. Step 5: Solve for x
    x = 88,160,351.34/10,358.50
  6. Step 6: Final answer
    x = 8,510.92

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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.