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Finding the Fourth Proportional to 7,775.83, 10,731.77 and 4,417.98

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Solution

The fourth proportional to 7,775.83, 10,731.77 and 4,417.98 is: 6,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.83 : 10,731.77 = 4,417.98 : x
  2. Step 2: Convert to fraction form
    7,775.83/10,731.77 = 4,417.98/x
  3. Step 3: Cross multiply
    7,775.83x = 10,731.77 × 4,417.98
  4. Step 4: Simplify right side
    7,775.83x = 47,412,745.22
  5. Step 5: Solve for x
    x = 47,412,745.22/7,775.83
  6. Step 6: Final answer
    x = 6,097.45

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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.