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Finding the Fourth Proportional to 5,411.08, 8,106.88 and 5,032

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Solution

The fourth proportional to 5,411.08, 8,106.88 and 5,032 is: 7,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.08 : 8,106.88 = 5,032 : x
  2. Step 2: Convert to fraction form
    5,411.08/8,106.88 = 5,032/x
  3. Step 3: Cross multiply
    5,411.08x = 8,106.88 × 5,032
  4. Step 4: Simplify right side
    5,411.08x = 40,793,820.16
  5. Step 5: Solve for x
    x = 40,793,820.16/5,411.08
  6. Step 6: Final answer
    x = 7,538.94

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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.