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Finding the Fourth Proportional to 8,745, 12,066.72 and 5,208.12

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Solution

The fourth proportional to 8,745, 12,066.72 and 5,208.12 is: 7,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745 : 12,066.72 = 5,208.12 : x
  2. Step 2: Convert to fraction form
    8,745/12,066.72 = 5,208.12/x
  3. Step 3: Cross multiply
    8,745x = 12,066.72 × 5,208.12
  4. Step 4: Simplify right side
    8,745x = 62,844,925.77
  5. Step 5: Solve for x
    x = 62,844,925.77/8,745
  6. Step 6: Final answer
    x = 7,186.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.