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Finding the Fourth Proportional to 7,813.43, 10,782.52 and 4,276.63

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Solution

The fourth proportional to 7,813.43, 10,782.52 and 4,276.63 is: 5,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.43 : 10,782.52 = 4,276.63 : x
  2. Step 2: Convert to fraction form
    7,813.43/10,782.52 = 4,276.63/x
  3. Step 3: Cross multiply
    7,813.43x = 10,782.52 × 4,276.63
  4. Step 4: Simplify right side
    7,813.43x = 46,112,848.51
  5. Step 5: Solve for x
    x = 46,112,848.51/7,813.43
  6. Step 6: Final answer
    x = 5,901.74

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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.