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Finding the Fourth Proportional to 7,356.16, 11,035.02 and 2,356.74

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Solution

The fourth proportional to 7,356.16, 11,035.02 and 2,356.74 is: 3,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.16 : 11,035.02 = 2,356.74 : x
  2. Step 2: Convert to fraction form
    7,356.16/11,035.02 = 2,356.74/x
  3. Step 3: Cross multiply
    7,356.16x = 11,035.02 × 2,356.74
  4. Step 4: Simplify right side
    7,356.16x = 26,006,673.03
  5. Step 5: Solve for x
    x = 26,006,673.03/7,356.16
  6. Step 6: Final answer
    x = 3,535.36

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Why These Related Problems?

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