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Finding the Fourth Proportional to 7,347.96, 11,008.04 and 5,696.42

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Solution

The fourth proportional to 7,347.96, 11,008.04 and 5,696.42 is: 8,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.96 : 11,008.04 = 5,696.42 : x
  2. Step 2: Convert to fraction form
    7,347.96/11,008.04 = 5,696.42/x
  3. Step 3: Cross multiply
    7,347.96x = 11,008.04 × 5,696.42
  4. Step 4: Simplify right side
    7,347.96x = 62,706,335.69
  5. Step 5: Solve for x
    x = 62,706,335.69/7,347.96
  6. Step 6: Final answer
    x = 8,533.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.