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Finding the Fourth Proportional to 7,160.81, 9,885.30 and 4,774.77

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Solution

The fourth proportional to 7,160.81, 9,885.30 and 4,774.77 is: 6,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.81 : 9,885.30 = 4,774.77 : x
  2. Step 2: Convert to fraction form
    7,160.81/9,885.30 = 4,774.77/x
  3. Step 3: Cross multiply
    7,160.81x = 9,885.30 × 4,774.77
  4. Step 4: Simplify right side
    7,160.81x = 47,200,033.88
  5. Step 5: Solve for x
    x = 47,200,033.88/7,160.81
  6. Step 6: Final answer
    x = 6,591.44

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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.