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Finding the Fourth Proportional to 7,671.98, 11,505.48 and 2,476.64

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Solution

The fourth proportional to 7,671.98, 11,505.48 and 2,476.64 is: 3,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.98 : 11,505.48 = 2,476.64 : x
  2. Step 2: Convert to fraction form
    7,671.98/11,505.48 = 2,476.64/x
  3. Step 3: Cross multiply
    7,671.98x = 11,505.48 × 2,476.64
  4. Step 4: Simplify right side
    7,671.98x = 28,494,931.99
  5. Step 5: Solve for x
    x = 28,494,931.99/7,671.98
  6. Step 6: Final answer
    x = 3,714.16

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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.