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Finding the Fourth Proportional to 7,810.60, 10,794.18 and 5,827.72

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Solution

The fourth proportional to 7,810.60, 10,794.18 and 5,827.72 is: 8,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.60 : 10,794.18 = 5,827.72 : x
  2. Step 2: Convert to fraction form
    7,810.60/10,794.18 = 5,827.72/x
  3. Step 3: Cross multiply
    7,810.60x = 10,794.18 × 5,827.72
  4. Step 4: Simplify right side
    7,810.60x = 62,905,458.67
  5. Step 5: Solve for x
    x = 62,905,458.67/7,810.60
  6. Step 6: Final answer
    x = 8,053.86

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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.