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Finding the Fourth Proportional to 7,088.93, 10,633.14 and 3,808.43

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Solution

The fourth proportional to 7,088.93, 10,633.14 and 3,808.43 is: 5,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.93 : 10,633.14 = 3,808.43 : x
  2. Step 2: Convert to fraction form
    7,088.93/10,633.14 = 3,808.43/x
  3. Step 3: Cross multiply
    7,088.93x = 10,633.14 × 3,808.43
  4. Step 4: Simplify right side
    7,088.93x = 40,495,516.20
  5. Step 5: Solve for x
    x = 40,495,516.20/7,088.93
  6. Step 6: Final answer
    x = 5,712.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.