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Finding the Fourth Proportional to 7,567.32, 10,445.19 and 4,915.11

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Solution

The fourth proportional to 7,567.32, 10,445.19 and 4,915.11 is: 6,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.32 : 10,445.19 = 4,915.11 : x
  2. Step 2: Convert to fraction form
    7,567.32/10,445.19 = 4,915.11/x
  3. Step 3: Cross multiply
    7,567.32x = 10,445.19 × 4,915.11
  4. Step 4: Simplify right side
    7,567.32x = 51,339,257.82
  5. Step 5: Solve for x
    x = 51,339,257.82/7,567.32
  6. Step 6: Final answer
    x = 6,784.34

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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.