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Finding the Fourth Proportional to 7,523.88, 10,379.68 and 4,538.06

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Solution

The fourth proportional to 7,523.88, 10,379.68 and 4,538.06 is: 6,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.88 : 10,379.68 = 4,538.06 : x
  2. Step 2: Convert to fraction form
    7,523.88/10,379.68 = 4,538.06/x
  3. Step 3: Cross multiply
    7,523.88x = 10,379.68 × 4,538.06
  4. Step 4: Simplify right side
    7,523.88x = 47,103,547.38
  5. Step 5: Solve for x
    x = 47,103,547.38/7,523.88
  6. Step 6: Final answer
    x = 6,260.54

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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.