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Finding the Fourth Proportional to 7,829.42, 10,807.98 and 4,685

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Solution

The fourth proportional to 7,829.42, 10,807.98 and 4,685 is: 6,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.42 : 10,807.98 = 4,685 : x
  2. Step 2: Convert to fraction form
    7,829.42/10,807.98 = 4,685/x
  3. Step 3: Cross multiply
    7,829.42x = 10,807.98 × 4,685
  4. Step 4: Simplify right side
    7,829.42x = 50,635,386.30
  5. Step 5: Solve for x
    x = 50,635,386.30/7,829.42
  6. Step 6: Final answer
    x = 6,467.32

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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.