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Finding the Fourth Proportional to 10,717.66, 16,070.46 and 4,470.94

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Solution

The fourth proportional to 10,717.66, 16,070.46 and 4,470.94 is: 6,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.66 : 16,070.46 = 4,470.94 : x
  2. Step 2: Convert to fraction form
    10,717.66/16,070.46 = 4,470.94/x
  3. Step 3: Cross multiply
    10,717.66x = 16,070.46 × 4,470.94
  4. Step 4: Simplify right side
    10,717.66x = 71,850,062.43
  5. Step 5: Solve for x
    x = 71,850,062.43/10,717.66
  6. Step 6: Final answer
    x = 6,703.89

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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.