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Finding the Fourth Proportional to 7,585.12, 10,468.08 and 4,793.44

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Solution

The fourth proportional to 7,585.12, 10,468.08 and 4,793.44 is: 6,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.12 : 10,468.08 = 4,793.44 : x
  2. Step 2: Convert to fraction form
    7,585.12/10,468.08 = 4,793.44/x
  3. Step 3: Cross multiply
    7,585.12x = 10,468.08 × 4,793.44
  4. Step 4: Simplify right side
    7,585.12x = 50,178,113.40
  5. Step 5: Solve for x
    x = 50,178,113.40/7,585.12
  6. Step 6: Final answer
    x = 6,615.34

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Why These Related Problems?

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