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Finding the Fourth Proportional to 7,333.59, 11,000.29 and 1,786.95

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Solution

The fourth proportional to 7,333.59, 11,000.29 and 1,786.95 is: 2,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.59 : 11,000.29 = 1,786.95 : x
  2. Step 2: Convert to fraction form
    7,333.59/11,000.29 = 1,786.95/x
  3. Step 3: Cross multiply
    7,333.59x = 11,000.29 × 1,786.95
  4. Step 4: Simplify right side
    7,333.59x = 19,656,968.22
  5. Step 5: Solve for x
    x = 19,656,968.22/7,333.59
  6. Step 6: Final answer
    x = 2,680.40

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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.