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Finding the Fourth Proportional to 7,342.08, 10,132 and 4,030.08

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Solution

The fourth proportional to 7,342.08, 10,132 and 4,030.08 is: 5,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.08 : 10,132 = 4,030.08 : x
  2. Step 2: Convert to fraction form
    7,342.08/10,132 = 4,030.08/x
  3. Step 3: Cross multiply
    7,342.08x = 10,132 × 4,030.08
  4. Step 4: Simplify right side
    7,342.08x = 40,832,770.56
  5. Step 5: Solve for x
    x = 40,832,770.56/7,342.08
  6. Step 6: Final answer
    x = 5,561.47

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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.