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Finding the Fourth Proportional to 7,811.60, 10,795.56 and 5,828.72

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Solution

The fourth proportional to 7,811.60, 10,795.56 and 5,828.72 is: 8,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.60 : 10,795.56 = 5,828.72 : x
  2. Step 2: Convert to fraction form
    7,811.60/10,795.56 = 5,828.72/x
  3. Step 3: Cross multiply
    7,811.60x = 10,795.56 × 5,828.72
  4. Step 4: Simplify right side
    7,811.60x = 62,924,296.48
  5. Step 5: Solve for x
    x = 62,924,296.48/7,811.60
  6. Step 6: Final answer
    x = 8,055.24

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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.