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Finding the Fourth Proportional to 8,454, 11,666.24 and 4,677.06

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Solution

The fourth proportional to 8,454, 11,666.24 and 4,677.06 is: 6,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454 : 11,666.24 = 4,677.06 : x
  2. Step 2: Convert to fraction form
    8,454/11,666.24 = 4,677.06/x
  3. Step 3: Cross multiply
    8,454x = 11,666.24 × 4,677.06
  4. Step 4: Simplify right side
    8,454x = 54,563,704.45
  5. Step 5: Solve for x
    x = 54,563,704.45/8,454
  6. Step 6: Final answer
    x = 6,454.19

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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.