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Finding the Fourth Proportional to 7,845.40, 10,826.40 and 4,308.58

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Solution

The fourth proportional to 7,845.40, 10,826.40 and 4,308.58 is: 5,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.40 : 10,826.40 = 4,308.58 : x
  2. Step 2: Convert to fraction form
    7,845.40/10,826.40 = 4,308.58/x
  3. Step 3: Cross multiply
    7,845.40x = 10,826.40 × 4,308.58
  4. Step 4: Simplify right side
    7,845.40x = 46,646,410.51
  5. Step 5: Solve for x
    x = 46,646,410.51/7,845.40
  6. Step 6: Final answer
    x = 5,945.70

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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.