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Finding the Fourth Proportional to 8,395.14, 11,583.20 and 5,407.38

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Solution

The fourth proportional to 8,395.14, 11,583.20 and 5,407.38 is: 7,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.14 : 11,583.20 = 5,407.38 : x
  2. Step 2: Convert to fraction form
    8,395.14/11,583.20 = 5,407.38/x
  3. Step 3: Cross multiply
    8,395.14x = 11,583.20 × 5,407.38
  4. Step 4: Simplify right side
    8,395.14x = 62,634,810.11
  5. Step 5: Solve for x
    x = 62,634,810.11/8,395.14
  6. Step 6: Final answer
    x = 7,460.84

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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.