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Finding the Fourth Proportional to 7,595.98, 10,472.85 and 6,460.54

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Solution

The fourth proportional to 7,595.98, 10,472.85 and 6,460.54 is: 8,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,595.98 : 10,472.85 = 6,460.54 : x
  2. Step 2: Convert to fraction form
    7,595.98/10,472.85 = 6,460.54/x
  3. Step 3: Cross multiply
    7,595.98x = 10,472.85 × 6,460.54
  4. Step 4: Simplify right side
    7,595.98x = 67,660,266.34
  5. Step 5: Solve for x
    x = 67,660,266.34/7,595.98
  6. Step 6: Final answer
    x = 8,907.38

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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.