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Finding the Fourth Proportional to 7,407.62, 10,214.37 and 4,754.02

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Solution

The fourth proportional to 7,407.62, 10,214.37 and 4,754.02 is: 6,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.62 : 10,214.37 = 4,754.02 : x
  2. Step 2: Convert to fraction form
    7,407.62/10,214.37 = 4,754.02/x
  3. Step 3: Cross multiply
    7,407.62x = 10,214.37 × 4,754.02
  4. Step 4: Simplify right side
    7,407.62x = 48,559,319.27
  5. Step 5: Solve for x
    x = 48,559,319.27/7,407.62
  6. Step 6: Final answer
    x = 6,555.32

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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.