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Finding the Fourth Proportional to 10,255.16, 14,149.84 and 6,527

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Solution

The fourth proportional to 10,255.16, 14,149.84 and 6,527 is: 9,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.16 : 14,149.84 = 6,527 : x
  2. Step 2: Convert to fraction form
    10,255.16/14,149.84 = 6,527/x
  3. Step 3: Cross multiply
    10,255.16x = 14,149.84 × 6,527
  4. Step 4: Simplify right side
    10,255.16x = 92,356,005.68
  5. Step 5: Solve for x
    x = 92,356,005.68/10,255.16
  6. Step 6: Final answer
    x = 9,005.81

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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.