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Finding the Fourth Proportional to 8,145.06, 12,214.12 and 4,636.72

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Solution

The fourth proportional to 8,145.06, 12,214.12 and 4,636.72 is: 6,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.06 : 12,214.12 = 4,636.72 : x
  2. Step 2: Convert to fraction form
    8,145.06/12,214.12 = 4,636.72/x
  3. Step 3: Cross multiply
    8,145.06x = 12,214.12 × 4,636.72
  4. Step 4: Simplify right side
    8,145.06x = 56,633,419.46
  5. Step 5: Solve for x
    x = 56,633,419.46/8,145.06
  6. Step 6: Final answer
    x = 6,953.10

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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.