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Finding the Fourth Proportional to 11,280, 16,918.28 and 6,602.16

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Solution

The fourth proportional to 11,280, 16,918.28 and 6,602.16 is: 9,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280 : 16,918.28 = 6,602.16 : x
  2. Step 2: Convert to fraction form
    11,280/16,918.28 = 6,602.16/x
  3. Step 3: Cross multiply
    11,280x = 16,918.28 × 6,602.16
  4. Step 4: Simplify right side
    11,280x = 111,697,191.48
  5. Step 5: Solve for x
    x = 111,697,191.48/11,280
  6. Step 6: Final answer
    x = 9,902.23

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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.