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Finding the Fourth Proportional to 10,517.94, 15,776.91 and 4,678.65

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Solution

The fourth proportional to 10,517.94, 15,776.91 and 4,678.65 is: 7,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.94 : 15,776.91 = 4,678.65 : x
  2. Step 2: Convert to fraction form
    10,517.94/15,776.91 = 4,678.65/x
  3. Step 3: Cross multiply
    10,517.94x = 15,776.91 × 4,678.65
  4. Step 4: Simplify right side
    10,517.94x = 73,814,639.97
  5. Step 5: Solve for x
    x = 73,814,639.97/10,517.94
  6. Step 6: Final answer
    x = 7,017.98

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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.