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Finding the Fourth Proportional to 10,595.88, 15,896.25 and 4,674.45

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Solution

The fourth proportional to 10,595.88, 15,896.25 and 4,674.45 is: 7,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.88 : 15,896.25 = 4,674.45 : x
  2. Step 2: Convert to fraction form
    10,595.88/15,896.25 = 4,674.45/x
  3. Step 3: Cross multiply
    10,595.88x = 15,896.25 × 4,674.45
  4. Step 4: Simplify right side
    10,595.88x = 74,306,285.42
  5. Step 5: Solve for x
    x = 74,306,285.42/10,595.88
  6. Step 6: Final answer
    x = 7,012.75

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Why These Related Problems?

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