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Finding the Fourth Proportional to 7,468.66, 10,302.46 and 4,669.30

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Solution

The fourth proportional to 7,468.66, 10,302.46 and 4,669.30 is: 6,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.66 : 10,302.46 = 4,669.30 : x
  2. Step 2: Convert to fraction form
    7,468.66/10,302.46 = 4,669.30/x
  3. Step 3: Cross multiply
    7,468.66x = 10,302.46 × 4,669.30
  4. Step 4: Simplify right side
    7,468.66x = 48,105,276.48
  5. Step 5: Solve for x
    x = 48,105,276.48/7,468.66
  6. Step 6: Final answer
    x = 6,440.95

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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.