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Finding the Fourth Proportional to 7,374.50, 10,176.81 and 4,062.50

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Solution

The fourth proportional to 7,374.50, 10,176.81 and 4,062.50 is: 5,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.50 : 10,176.81 = 4,062.50 : x
  2. Step 2: Convert to fraction form
    7,374.50/10,176.81 = 4,062.50/x
  3. Step 3: Cross multiply
    7,374.50x = 10,176.81 × 4,062.50
  4. Step 4: Simplify right side
    7,374.50x = 41,343,290.63
  5. Step 5: Solve for x
    x = 41,343,290.63/7,374.50
  6. Step 6: Final answer
    x = 5,606.25

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Why These Related Problems?

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