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Finding the Fourth Proportional to 7,390.36, 10,195.16 and 5,710

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Solution

The fourth proportional to 7,390.36, 10,195.16 and 5,710 is: 7,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.36 : 10,195.16 = 5,710 : x
  2. Step 2: Convert to fraction form
    7,390.36/10,195.16 = 5,710/x
  3. Step 3: Cross multiply
    7,390.36x = 10,195.16 × 5,710
  4. Step 4: Simplify right side
    7,390.36x = 58,214,363.60
  5. Step 5: Solve for x
    x = 58,214,363.60/7,390.36
  6. Step 6: Final answer
    x = 7,877.07

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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.