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Finding the Fourth Proportional to 10,596.24, 15,883.02 and 6,701.76

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Solution

The fourth proportional to 10,596.24, 15,883.02 and 6,701.76 is: 10,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.24 : 15,883.02 = 6,701.76 : x
  2. Step 2: Convert to fraction form
    10,596.24/15,883.02 = 6,701.76/x
  3. Step 3: Cross multiply
    10,596.24x = 15,883.02 × 6,701.76
  4. Step 4: Simplify right side
    10,596.24x = 106,444,188.12
  5. Step 5: Solve for x
    x = 106,444,188.12/10,596.24
  6. Step 6: Final answer
    x = 10,045.47

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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.