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Finding the Fourth Proportional to 7,673.58, 10,586.22 and 4,838.72

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Solution

The fourth proportional to 7,673.58, 10,586.22 and 4,838.72 is: 6,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.58 : 10,586.22 = 4,838.72 : x
  2. Step 2: Convert to fraction form
    7,673.58/10,586.22 = 4,838.72/x
  3. Step 3: Cross multiply
    7,673.58x = 10,586.22 × 4,838.72
  4. Step 4: Simplify right side
    7,673.58x = 51,223,754.44
  5. Step 5: Solve for x
    x = 51,223,754.44/7,673.58
  6. Step 6: Final answer
    x = 6,675.34

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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.