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Finding the Fourth Proportional to 7,774.90, 10,725.12 and 4,628.86

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Solution

The fourth proportional to 7,774.90, 10,725.12 and 4,628.86 is: 6,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.90 : 10,725.12 = 4,628.86 : x
  2. Step 2: Convert to fraction form
    7,774.90/10,725.12 = 4,628.86/x
  3. Step 3: Cross multiply
    7,774.90x = 10,725.12 × 4,628.86
  4. Step 4: Simplify right side
    7,774.90x = 49,645,078.96
  5. Step 5: Solve for x
    x = 49,645,078.96/7,774.90
  6. Step 6: Final answer
    x = 6,385.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.