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Finding the Fourth Proportional to 10,357.10, 14,287.91 and 7,001.09

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Solution

The fourth proportional to 10,357.10, 14,287.91 and 7,001.09 is: 9,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.10 : 14,287.91 = 7,001.09 : x
  2. Step 2: Convert to fraction form
    10,357.10/14,287.91 = 7,001.09/x
  3. Step 3: Cross multiply
    10,357.10x = 14,287.91 × 7,001.09
  4. Step 4: Simplify right side
    10,357.10x = 100,030,837.38
  5. Step 5: Solve for x
    x = 100,030,837.38/10,357.10
  6. Step 6: Final answer
    x = 9,658.19

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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.