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Finding the Fourth Proportional to 10,559.94, 14,570.27 and 6,312.38

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Solution

The fourth proportional to 10,559.94, 14,570.27 and 6,312.38 is: 8,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.94 : 14,570.27 = 6,312.38 : x
  2. Step 2: Convert to fraction form
    10,559.94/14,570.27 = 6,312.38/x
  3. Step 3: Cross multiply
    10,559.94x = 14,570.27 × 6,312.38
  4. Step 4: Simplify right side
    10,559.94x = 91,972,976.53
  5. Step 5: Solve for x
    x = 91,972,976.53/10,559.94
  6. Step 6: Final answer
    x = 8,709.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.