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Finding the Fourth Proportional to 7,563.32, 10,438.46 and 4,538.57

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Solution

The fourth proportional to 7,563.32, 10,438.46 and 4,538.57 is: 6,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.32 : 10,438.46 = 4,538.57 : x
  2. Step 2: Convert to fraction form
    7,563.32/10,438.46 = 4,538.57/x
  3. Step 3: Cross multiply
    7,563.32x = 10,438.46 × 4,538.57
  4. Step 4: Simplify right side
    7,563.32x = 47,375,681.40
  5. Step 5: Solve for x
    x = 47,375,681.40/7,563.32
  6. Step 6: Final answer
    x = 6,263.88

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