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Finding the Fourth Proportional to 7,845.57, 10,826.90 and 4,309.02

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Solution

The fourth proportional to 7,845.57, 10,826.90 and 4,309.02 is: 5,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.57 : 10,826.90 = 4,309.02 : x
  2. Step 2: Convert to fraction form
    7,845.57/10,826.90 = 4,309.02/x
  3. Step 3: Cross multiply
    7,845.57x = 10,826.90 × 4,309.02
  4. Step 4: Simplify right side
    7,845.57x = 46,653,307.09
  5. Step 5: Solve for x
    x = 46,653,307.09/7,845.57
  6. Step 6: Final answer
    x = 5,946.45

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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.