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Finding the Fourth Proportional to 8,877.68, 13,316.58 and 3,946

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Solution

The fourth proportional to 8,877.68, 13,316.58 and 3,946 is: 5,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,877.68 : 13,316.58 = 3,946 : x
  2. Step 2: Convert to fraction form
    8,877.68/13,316.58 = 3,946/x
  3. Step 3: Cross multiply
    8,877.68x = 13,316.58 × 3,946
  4. Step 4: Simplify right side
    8,877.68x = 52,547,224.68
  5. Step 5: Solve for x
    x = 52,547,224.68/8,877.68
  6. Step 6: Final answer
    x = 5,919.03

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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.