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Finding the Fourth Proportional to 7,809.60, 10,792.80 and 5,826.72

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Solution

The fourth proportional to 7,809.60, 10,792.80 and 5,826.72 is: 8,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.60 : 10,792.80 = 5,826.72 : x
  2. Step 2: Convert to fraction form
    7,809.60/10,792.80 = 5,826.72/x
  3. Step 3: Cross multiply
    7,809.60x = 10,792.80 × 5,826.72
  4. Step 4: Simplify right side
    7,809.60x = 62,886,623.62
  5. Step 5: Solve for x
    x = 62,886,623.62/7,809.60
  6. Step 6: Final answer
    x = 8,052.48

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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.