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Finding the Fourth Proportional to 7,160.69, 9,885.09 and 4,774.64

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Solution

The fourth proportional to 7,160.69, 9,885.09 and 4,774.64 is: 6,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.69 : 9,885.09 = 4,774.64 : x
  2. Step 2: Convert to fraction form
    7,160.69/9,885.09 = 4,774.64/x
  3. Step 3: Cross multiply
    7,160.69x = 9,885.09 × 4,774.64
  4. Step 4: Simplify right side
    7,160.69x = 47,197,696.69
  5. Step 5: Solve for x
    x = 47,197,696.69/7,160.69
  6. Step 6: Final answer
    x = 6,591.23

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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.