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Finding the Fourth Proportional to 7,804.52, 10,762.80 and 5,111.72

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Solution

The fourth proportional to 7,804.52, 10,762.80 and 5,111.72 is: 7,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.52 : 10,762.80 = 5,111.72 : x
  2. Step 2: Convert to fraction form
    7,804.52/10,762.80 = 5,111.72/x
  3. Step 3: Cross multiply
    7,804.52x = 10,762.80 × 5,111.72
  4. Step 4: Simplify right side
    7,804.52x = 55,016,420.02
  5. Step 5: Solve for x
    x = 55,016,420.02/7,804.52
  6. Step 6: Final answer
    x = 7,049.30

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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.