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Finding the Fourth Proportional to 7,374.93, 11,062.19 and 1,828.16

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Solution

The fourth proportional to 7,374.93, 11,062.19 and 1,828.16 is: 2,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.93 : 11,062.19 = 1,828.16 : x
  2. Step 2: Convert to fraction form
    7,374.93/11,062.19 = 1,828.16/x
  3. Step 3: Cross multiply
    7,374.93x = 11,062.19 × 1,828.16
  4. Step 4: Simplify right side
    7,374.93x = 20,223,388.82
  5. Step 5: Solve for x
    x = 20,223,388.82/7,374.93
  6. Step 6: Final answer
    x = 2,742.18

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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.