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Finding the Fourth Proportional to 11,066.64, 16,602.93 and 4,827.17

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Solution

The fourth proportional to 11,066.64, 16,602.93 and 4,827.17 is: 7,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066.64 : 16,602.93 = 4,827.17 : x
  2. Step 2: Convert to fraction form
    11,066.64/16,602.93 = 4,827.17/x
  3. Step 3: Cross multiply
    11,066.64x = 16,602.93 × 4,827.17
  4. Step 4: Simplify right side
    11,066.64x = 80,145,082.59
  5. Step 5: Solve for x
    x = 80,145,082.59/11,066.64
  6. Step 6: Final answer
    x = 7,242.04

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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.