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Finding the Fourth Proportional to 7,912, 10,918.64 and 4,375.44

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Solution

The fourth proportional to 7,912, 10,918.64 and 4,375.44 is: 6,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912 : 10,918.64 = 4,375.44 : x
  2. Step 2: Convert to fraction form
    7,912/10,918.64 = 4,375.44/x
  3. Step 3: Cross multiply
    7,912x = 10,918.64 × 4,375.44
  4. Step 4: Simplify right side
    7,912x = 47,773,854.20
  5. Step 5: Solve for x
    x = 47,773,854.20/7,912
  6. Step 6: Final answer
    x = 6,038.15

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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.