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Finding the Fourth Proportional to 7,395.80, 11,094.53 and 2,465.78

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Solution

The fourth proportional to 7,395.80, 11,094.53 and 2,465.78 is: 3,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395.80 : 11,094.53 = 2,465.78 : x
  2. Step 2: Convert to fraction form
    7,395.80/11,094.53 = 2,465.78/x
  3. Step 3: Cross multiply
    7,395.80x = 11,094.53 × 2,465.78
  4. Step 4: Simplify right side
    7,395.80x = 27,356,602.38
  5. Step 5: Solve for x
    x = 27,356,602.38/7,395.80
  6. Step 6: Final answer
    x = 3,698.94

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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.