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Finding the Fourth Proportional to 7,660.64, 11,490.14 and 3,953.28

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Solution

The fourth proportional to 7,660.64, 11,490.14 and 3,953.28 is: 5,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.64 : 11,490.14 = 3,953.28 : x
  2. Step 2: Convert to fraction form
    7,660.64/11,490.14 = 3,953.28/x
  3. Step 3: Cross multiply
    7,660.64x = 11,490.14 × 3,953.28
  4. Step 4: Simplify right side
    7,660.64x = 45,423,740.66
  5. Step 5: Solve for x
    x = 45,423,740.66/7,660.64
  6. Step 6: Final answer
    x = 5,929.50

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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.