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Finding the Fourth Proportional to 10,810.81, 14,918.02 and 6,096.25

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Solution

The fourth proportional to 10,810.81, 14,918.02 and 6,096.25 is: 8,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.81 : 14,918.02 = 6,096.25 : x
  2. Step 2: Convert to fraction form
    10,810.81/14,918.02 = 6,096.25/x
  3. Step 3: Cross multiply
    10,810.81x = 14,918.02 × 6,096.25
  4. Step 4: Simplify right side
    10,810.81x = 90,943,979.43
  5. Step 5: Solve for x
    x = 90,943,979.43/10,810.81
  6. Step 6: Final answer
    x = 8,412.32

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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.