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Finding the Fourth Proportional to 7,145.34, 10,729.90 and 4,820.32

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Solution

The fourth proportional to 7,145.34, 10,729.90 and 4,820.32 is: 7,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.34 : 10,729.90 = 4,820.32 : x
  2. Step 2: Convert to fraction form
    7,145.34/10,729.90 = 4,820.32/x
  3. Step 3: Cross multiply
    7,145.34x = 10,729.90 × 4,820.32
  4. Step 4: Simplify right side
    7,145.34x = 51,721,551.57
  5. Step 5: Solve for x
    x = 51,721,551.57/7,145.34
  6. Step 6: Final answer
    x = 7,238.50

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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.