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Finding the Fourth Proportional to 7,465.92, 10,316.16 and 5,906.40

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Solution

The fourth proportional to 7,465.92, 10,316.16 and 5,906.40 is: 8,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.92 : 10,316.16 = 5,906.40 : x
  2. Step 2: Convert to fraction form
    7,465.92/10,316.16 = 5,906.40/x
  3. Step 3: Cross multiply
    7,465.92x = 10,316.16 × 5,906.40
  4. Step 4: Simplify right side
    7,465.92x = 60,931,367.42
  5. Step 5: Solve for x
    x = 60,931,367.42/7,465.92
  6. Step 6: Final answer
    x = 8,161.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.