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Finding the Fourth Proportional to 7,835.61, 10,813.31 and 4,298.82

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Solution

The fourth proportional to 7,835.61, 10,813.31 and 4,298.82 is: 5,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.61 : 10,813.31 = 4,298.82 : x
  2. Step 2: Convert to fraction form
    7,835.61/10,813.31 = 4,298.82/x
  3. Step 3: Cross multiply
    7,835.61x = 10,813.31 × 4,298.82
  4. Step 4: Simplify right side
    7,835.61x = 46,484,473.29
  5. Step 5: Solve for x
    x = 46,484,473.29/7,835.61
  6. Step 6: Final answer
    x = 5,932.46

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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.