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Finding the Fourth Proportional to 7,095.65, 9,795.02 and 5,052.88

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Solution

The fourth proportional to 7,095.65, 9,795.02 and 5,052.88 is: 6,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.65 : 9,795.02 = 5,052.88 : x
  2. Step 2: Convert to fraction form
    7,095.65/9,795.02 = 5,052.88/x
  3. Step 3: Cross multiply
    7,095.65x = 9,795.02 × 5,052.88
  4. Step 4: Simplify right side
    7,095.65x = 49,493,010.91
  5. Step 5: Solve for x
    x = 49,493,010.91/7,095.65
  6. Step 6: Final answer
    x = 6,975.12

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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.