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Finding the Fourth Proportional to 11,114.64, 16,654.68 and 7,002

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Solution

The fourth proportional to 11,114.64, 16,654.68 and 7,002 is: 10,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.64 : 16,654.68 = 7,002 : x
  2. Step 2: Convert to fraction form
    11,114.64/16,654.68 = 7,002/x
  3. Step 3: Cross multiply
    11,114.64x = 16,654.68 × 7,002
  4. Step 4: Simplify right side
    11,114.64x = 116,616,069.36
  5. Step 5: Solve for x
    x = 116,616,069.36/11,114.64
  6. Step 6: Final answer
    x = 10,492.11

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Why These Related Problems?

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