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Finding the Fourth Proportional to 7,779.14, 10,719.86 and 5,534.73

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Solution

The fourth proportional to 7,779.14, 10,719.86 and 5,534.73 is: 7,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.14 : 10,719.86 = 5,534.73 : x
  2. Step 2: Convert to fraction form
    7,779.14/10,719.86 = 5,534.73/x
  3. Step 3: Cross multiply
    7,779.14x = 10,719.86 × 5,534.73
  4. Step 4: Simplify right side
    7,779.14x = 59,331,477.14
  5. Step 5: Solve for x
    x = 59,331,477.14/7,779.14
  6. Step 6: Final answer
    x = 7,627.00

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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.