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Finding the Fourth Proportional to 10,236.48, 14,128.02 and 6,461.71

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Solution

The fourth proportional to 10,236.48, 14,128.02 and 6,461.71 is: 8,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.48 : 14,128.02 = 6,461.71 : x
  2. Step 2: Convert to fraction form
    10,236.48/14,128.02 = 6,461.71/x
  3. Step 3: Cross multiply
    10,236.48x = 14,128.02 × 6,461.71
  4. Step 4: Simplify right side
    10,236.48x = 91,291,132.79
  5. Step 5: Solve for x
    x = 91,291,132.79/10,236.48
  6. Step 6: Final answer
    x = 8,918.22

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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.