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Finding the Fourth Proportional to 7,655.50, 11,477.58 and 2,971.41

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Solution

The fourth proportional to 7,655.50, 11,477.58 and 2,971.41 is: 4,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.50 : 11,477.58 = 2,971.41 : x
  2. Step 2: Convert to fraction form
    7,655.50/11,477.58 = 2,971.41/x
  3. Step 3: Cross multiply
    7,655.50x = 11,477.58 × 2,971.41
  4. Step 4: Simplify right side
    7,655.50x = 34,104,595.99
  5. Step 5: Solve for x
    x = 34,104,595.99/7,655.50
  6. Step 6: Final answer
    x = 4,454.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.