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Finding the Fourth Proportional to 10,397.56, 15,584.46 and 4,472.50

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Solution

The fourth proportional to 10,397.56, 15,584.46 and 4,472.50 is: 6,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.56 : 15,584.46 = 4,472.50 : x
  2. Step 2: Convert to fraction form
    10,397.56/15,584.46 = 4,472.50/x
  3. Step 3: Cross multiply
    10,397.56x = 15,584.46 × 4,472.50
  4. Step 4: Simplify right side
    10,397.56x = 69,701,497.35
  5. Step 5: Solve for x
    x = 69,701,497.35/10,397.56
  6. Step 6: Final answer
    x = 6,703.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.