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Finding the Fourth Proportional to 7,845.61, 10,826.89 and 4,488.48

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Solution

The fourth proportional to 7,845.61, 10,826.89 and 4,488.48 is: 6,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.61 : 10,826.89 = 4,488.48 : x
  2. Step 2: Convert to fraction form
    7,845.61/10,826.89 = 4,488.48/x
  3. Step 3: Cross multiply
    7,845.61x = 10,826.89 × 4,488.48
  4. Step 4: Simplify right side
    7,845.61x = 48,596,279.23
  5. Step 5: Solve for x
    x = 48,596,279.23/7,845.61
  6. Step 6: Final answer
    x = 6,194.07

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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.