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Finding the Fourth Proportional to 10,314.63, 14,231.27 and 6,064.16

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Solution

The fourth proportional to 10,314.63, 14,231.27 and 6,064.16 is: 8,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.63 : 14,231.27 = 6,064.16 : x
  2. Step 2: Convert to fraction form
    10,314.63/14,231.27 = 6,064.16/x
  3. Step 3: Cross multiply
    10,314.63x = 14,231.27 × 6,064.16
  4. Step 4: Simplify right side
    10,314.63x = 86,300,596.81
  5. Step 5: Solve for x
    x = 86,300,596.81/10,314.63
  6. Step 6: Final answer
    x = 8,366.81

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