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Finding the Fourth Proportional to 7,682.34, 10,599.12 and 4,656.36

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Solution

The fourth proportional to 7,682.34, 10,599.12 and 4,656.36 is: 6,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.34 : 10,599.12 = 4,656.36 : x
  2. Step 2: Convert to fraction form
    7,682.34/10,599.12 = 4,656.36/x
  3. Step 3: Cross multiply
    7,682.34x = 10,599.12 × 4,656.36
  4. Step 4: Simplify right side
    7,682.34x = 49,353,318.40
  5. Step 5: Solve for x
    x = 49,353,318.40/7,682.34
  6. Step 6: Final answer
    x = 6,424.26

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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.