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Finding the Fourth Proportional to 7,677.66, 11,497.05 and 4,747.08

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Solution

The fourth proportional to 7,677.66, 11,497.05 and 4,747.08 is: 7,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.66 : 11,497.05 = 4,747.08 : x
  2. Step 2: Convert to fraction form
    7,677.66/11,497.05 = 4,747.08/x
  3. Step 3: Cross multiply
    7,677.66x = 11,497.05 × 4,747.08
  4. Step 4: Simplify right side
    7,677.66x = 54,577,416.11
  5. Step 5: Solve for x
    x = 54,577,416.11/7,677.66
  6. Step 6: Final answer
    x = 7,108.60

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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.