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Finding the Fourth Proportional to 8,200.17, 12,303.86 and 4,303.67

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Solution

The fourth proportional to 8,200.17, 12,303.86 and 4,303.67 is: 6,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.17 : 12,303.86 = 4,303.67 : x
  2. Step 2: Convert to fraction form
    8,200.17/12,303.86 = 4,303.67/x
  3. Step 3: Cross multiply
    8,200.17x = 12,303.86 × 4,303.67
  4. Step 4: Simplify right side
    8,200.17x = 52,951,670.13
  5. Step 5: Solve for x
    x = 52,951,670.13/8,200.17
  6. Step 6: Final answer
    x = 6,457.39

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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.