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Finding the Fourth Proportional to 7,655.57, 10,564.79 and 4,511.76

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Solution

The fourth proportional to 7,655.57, 10,564.79 and 4,511.76 is: 6,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.57 : 10,564.79 = 4,511.76 : x
  2. Step 2: Convert to fraction form
    7,655.57/10,564.79 = 4,511.76/x
  3. Step 3: Cross multiply
    7,655.57x = 10,564.79 × 4,511.76
  4. Step 4: Simplify right side
    7,655.57x = 47,665,796.93
  5. Step 5: Solve for x
    x = 47,665,796.93/7,655.57
  6. Step 6: Final answer
    x = 6,226.29

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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.