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Finding the Fourth Proportional to 7,386.72, 10,194 and 5,615.28

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Solution

The fourth proportional to 7,386.72, 10,194 and 5,615.28 is: 7,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.72 : 10,194 = 5,615.28 : x
  2. Step 2: Convert to fraction form
    7,386.72/10,194 = 5,615.28/x
  3. Step 3: Cross multiply
    7,386.72x = 10,194 × 5,615.28
  4. Step 4: Simplify right side
    7,386.72x = 57,242,164.32
  5. Step 5: Solve for x
    x = 57,242,164.32/7,386.72
  6. Step 6: Final answer
    x = 7,749.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.