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Finding the Fourth Proportional to 7,846.69, 10,830.32 and 4,491.45

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Solution

The fourth proportional to 7,846.69, 10,830.32 and 4,491.45 is: 6,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.69 : 10,830.32 = 4,491.45 : x
  2. Step 2: Convert to fraction form
    7,846.69/10,830.32 = 4,491.45/x
  3. Step 3: Cross multiply
    7,846.69x = 10,830.32 × 4,491.45
  4. Step 4: Simplify right side
    7,846.69x = 48,643,818.31
  5. Step 5: Solve for x
    x = 48,643,818.31/7,846.69
  6. Step 6: Final answer
    x = 6,199.28

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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.