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Finding the Fourth Proportional to 10,307.02, 15,462.96 and 8,206.58

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Solution

The fourth proportional to 10,307.02, 15,462.96 and 8,206.58 is: 12,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.02 : 15,462.96 = 8,206.58 : x
  2. Step 2: Convert to fraction form
    10,307.02/15,462.96 = 8,206.58/x
  3. Step 3: Cross multiply
    10,307.02x = 15,462.96 × 8,206.58
  4. Step 4: Simplify right side
    10,307.02x = 126,898,018.28
  5. Step 5: Solve for x
    x = 126,898,018.28/10,307.02
  6. Step 6: Final answer
    x = 12,311.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.