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Finding the Fourth Proportional to 7,575.32, 10,431.87 and 5,893.89

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Solution

The fourth proportional to 7,575.32, 10,431.87 and 5,893.89 is: 8,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.32 : 10,431.87 = 5,893.89 : x
  2. Step 2: Convert to fraction form
    7,575.32/10,431.87 = 5,893.89/x
  3. Step 3: Cross multiply
    7,575.32x = 10,431.87 × 5,893.89
  4. Step 4: Simplify right side
    7,575.32x = 61,484,294.27
  5. Step 5: Solve for x
    x = 61,484,294.27/7,575.32
  6. Step 6: Final answer
    x = 8,116.40

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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.