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Finding the Fourth Proportional to 7,397.66, 11,096.50 and 4,317.50

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Solution

The fourth proportional to 7,397.66, 11,096.50 and 4,317.50 is: 6,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.66 : 11,096.50 = 4,317.50 : x
  2. Step 2: Convert to fraction form
    7,397.66/11,096.50 = 4,317.50/x
  3. Step 3: Cross multiply
    7,397.66x = 11,096.50 × 4,317.50
  4. Step 4: Simplify right side
    7,397.66x = 47,909,138.75
  5. Step 5: Solve for x
    x = 47,909,138.75/7,397.66
  6. Step 6: Final answer
    x = 6,476.26

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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.