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Finding the Fourth Proportional to 8,357.28, 11,527.56 and 5,368.38

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Solution

The fourth proportional to 8,357.28, 11,527.56 and 5,368.38 is: 7,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.28 : 11,527.56 = 5,368.38 : x
  2. Step 2: Convert to fraction form
    8,357.28/11,527.56 = 5,368.38/x
  3. Step 3: Cross multiply
    8,357.28x = 11,527.56 × 5,368.38
  4. Step 4: Simplify right side
    8,357.28x = 61,884,322.55
  5. Step 5: Solve for x
    x = 61,884,322.55/8,357.28
  6. Step 6: Final answer
    x = 7,404.84

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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.