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Finding the Fourth Proportional to 10,165.71, 14,037.34 and 6,395.19

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Solution

The fourth proportional to 10,165.71, 14,037.34 and 6,395.19 is: 8,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.71 : 14,037.34 = 6,395.19 : x
  2. Step 2: Convert to fraction form
    10,165.71/14,037.34 = 6,395.19/x
  3. Step 3: Cross multiply
    10,165.71x = 14,037.34 × 6,395.19
  4. Step 4: Simplify right side
    10,165.71x = 89,771,399.76
  5. Step 5: Solve for x
    x = 89,771,399.76/10,165.71
  6. Step 6: Final answer
    x = 8,830.80

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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.