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Finding the Fourth Proportional to 7,514.56, 10,368.96 and 4,284.38

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Solution

The fourth proportional to 7,514.56, 10,368.96 and 4,284.38 is: 5,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.56 : 10,368.96 = 4,284.38 : x
  2. Step 2: Convert to fraction form
    7,514.56/10,368.96 = 4,284.38/x
  3. Step 3: Cross multiply
    7,514.56x = 10,368.96 × 4,284.38
  4. Step 4: Simplify right side
    7,514.56x = 44,424,564.84
  5. Step 5: Solve for x
    x = 44,424,564.84/7,514.56
  6. Step 6: Final answer
    x = 5,911.80

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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.