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Finding the Fourth Proportional to 10,596.16, 15,903.96 and 5,405.68

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Solution

The fourth proportional to 10,596.16, 15,903.96 and 5,405.68 is: 8,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.16 : 15,903.96 = 5,405.68 : x
  2. Step 2: Convert to fraction form
    10,596.16/15,903.96 = 5,405.68/x
  3. Step 3: Cross multiply
    10,596.16x = 15,903.96 × 5,405.68
  4. Step 4: Simplify right side
    10,596.16x = 85,971,718.49
  5. Step 5: Solve for x
    x = 85,971,718.49/10,596.16
  6. Step 6: Final answer
    x = 8,113.48

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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.