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Finding the Fourth Proportional to 7,185.61, 10,774.93 and 2,505.50

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Solution

The fourth proportional to 7,185.61, 10,774.93 and 2,505.50 is: 3,757.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.61 : 10,774.93 = 2,505.50 : x
  2. Step 2: Convert to fraction form
    7,185.61/10,774.93 = 2,505.50/x
  3. Step 3: Cross multiply
    7,185.61x = 10,774.93 × 2,505.50
  4. Step 4: Simplify right side
    7,185.61x = 26,996,587.12
  5. Step 5: Solve for x
    x = 26,996,587.12/7,185.61
  6. Step 6: Final answer
    x = 3,757.03

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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.