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Finding the Fourth Proportional to 10,601.56, 15,897 and 4,359.83

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Solution

The fourth proportional to 10,601.56, 15,897 and 4,359.83 is: 6,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.56 : 15,897 = 4,359.83 : x
  2. Step 2: Convert to fraction form
    10,601.56/15,897 = 4,359.83/x
  3. Step 3: Cross multiply
    10,601.56x = 15,897 × 4,359.83
  4. Step 4: Simplify right side
    10,601.56x = 69,308,217.51
  5. Step 5: Solve for x
    x = 69,308,217.51/10,601.56
  6. Step 6: Final answer
    x = 6,537.55

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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.