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Finding the Fourth Proportional to 10,877.67, 16,316.76 and 6,164.01

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Solution

The fourth proportional to 10,877.67, 16,316.76 and 6,164.01 is: 9,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.67 : 16,316.76 = 6,164.01 : x
  2. Step 2: Convert to fraction form
    10,877.67/16,316.76 = 6,164.01/x
  3. Step 3: Cross multiply
    10,877.67x = 16,316.76 × 6,164.01
  4. Step 4: Simplify right side
    10,877.67x = 100,576,671.81
  5. Step 5: Solve for x
    x = 100,576,671.81/10,877.67
  6. Step 6: Final answer
    x = 9,246.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.