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Finding the Fourth Proportional to 10,970.30, 16,446.18 and 4,392.88

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Solution

The fourth proportional to 10,970.30, 16,446.18 and 4,392.88 is: 6,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.30 : 16,446.18 = 4,392.88 : x
  2. Step 2: Convert to fraction form
    10,970.30/16,446.18 = 4,392.88/x
  3. Step 3: Cross multiply
    10,970.30x = 16,446.18 × 4,392.88
  4. Step 4: Simplify right side
    10,970.30x = 72,246,095.20
  5. Step 5: Solve for x
    x = 72,246,095.20/10,970.30
  6. Step 6: Final answer
    x = 6,585.61

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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.