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Finding the Fourth Proportional to 7,608.72, 10,497 and 5,624.04

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Solution

The fourth proportional to 7,608.72, 10,497 and 5,624.04 is: 7,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.72 : 10,497 = 5,624.04 : x
  2. Step 2: Convert to fraction form
    7,608.72/10,497 = 5,624.04/x
  3. Step 3: Cross multiply
    7,608.72x = 10,497 × 5,624.04
  4. Step 4: Simplify right side
    7,608.72x = 59,035,547.88
  5. Step 5: Solve for x
    x = 59,035,547.88/7,608.72
  6. Step 6: Final answer
    x = 7,758.93

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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.