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Finding the Fourth Proportional to 7,829.30, 10,803.87 and 4,642.43

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Solution

The fourth proportional to 7,829.30, 10,803.87 and 4,642.43 is: 6,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.30 : 10,803.87 = 4,642.43 : x
  2. Step 2: Convert to fraction form
    7,829.30/10,803.87 = 4,642.43/x
  3. Step 3: Cross multiply
    7,829.30x = 10,803.87 × 4,642.43
  4. Step 4: Simplify right side
    7,829.30x = 50,156,156.18
  5. Step 5: Solve for x
    x = 50,156,156.18/7,829.30
  6. Step 6: Final answer
    x = 6,406.22

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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.