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Finding the Fourth Proportional to 8,301.84, 11,454.52 and 4,716

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Solution

The fourth proportional to 8,301.84, 11,454.52 and 4,716 is: 6,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.84 : 11,454.52 = 4,716 : x
  2. Step 2: Convert to fraction form
    8,301.84/11,454.52 = 4,716/x
  3. Step 3: Cross multiply
    8,301.84x = 11,454.52 × 4,716
  4. Step 4: Simplify right side
    8,301.84x = 54,019,516.32
  5. Step 5: Solve for x
    x = 54,019,516.32/8,301.84
  6. Step 6: Final answer
    x = 6,506.93

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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.