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Finding the Fourth Proportional to 10,596.38, 15,897.40 and 3,670.88

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Solution

The fourth proportional to 10,596.38, 15,897.40 and 3,670.88 is: 5,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.38 : 15,897.40 = 3,670.88 : x
  2. Step 2: Convert to fraction form
    10,596.38/15,897.40 = 3,670.88/x
  3. Step 3: Cross multiply
    10,596.38x = 15,897.40 × 3,670.88
  4. Step 4: Simplify right side
    10,596.38x = 58,357,359.05
  5. Step 5: Solve for x
    x = 58,357,359.05/10,596.38
  6. Step 6: Final answer
    x = 5,507.29

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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.