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Finding the Fourth Proportional to 7,730.46, 11,566.97 and 4,612.17

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Solution

The fourth proportional to 7,730.46, 11,566.97 and 4,612.17 is: 6,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.46 : 11,566.97 = 4,612.17 : x
  2. Step 2: Convert to fraction form
    7,730.46/11,566.97 = 4,612.17/x
  3. Step 3: Cross multiply
    7,730.46x = 11,566.97 × 4,612.17
  4. Step 4: Simplify right side
    7,730.46x = 53,348,808.96
  5. Step 5: Solve for x
    x = 53,348,808.96/7,730.46
  6. Step 6: Final answer
    x = 6,901.12

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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.