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Finding the Fourth Proportional to 7,734.90, 10,672.50 and 4,376.64

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Solution

The fourth proportional to 7,734.90, 10,672.50 and 4,376.64 is: 6,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.90 : 10,672.50 = 4,376.64 : x
  2. Step 2: Convert to fraction form
    7,734.90/10,672.50 = 4,376.64/x
  3. Step 3: Cross multiply
    7,734.90x = 10,672.50 × 4,376.64
  4. Step 4: Simplify right side
    7,734.90x = 46,709,690.40
  5. Step 5: Solve for x
    x = 46,709,690.40/7,734.90
  6. Step 6: Final answer
    x = 6,038.82

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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.