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Finding the Fourth Proportional to 7,291.72, 10,059.07 and 4,772.72

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Solution

The fourth proportional to 7,291.72, 10,059.07 and 4,772.72 is: 6,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.72 : 10,059.07 = 4,772.72 : x
  2. Step 2: Convert to fraction form
    7,291.72/10,059.07 = 4,772.72/x
  3. Step 3: Cross multiply
    7,291.72x = 10,059.07 × 4,772.72
  4. Step 4: Simplify right side
    7,291.72x = 48,009,050.41
  5. Step 5: Solve for x
    x = 48,009,050.41/7,291.72
  6. Step 6: Final answer
    x = 6,584.05

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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.