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Finding the Fourth Proportional to 7,307.69, 10,084.00 and 4,077.31

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Solution

The fourth proportional to 7,307.69, 10,084.00 and 4,077.31 is: 5,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.69 : 10,084.00 = 4,077.31 : x
  2. Step 2: Convert to fraction form
    7,307.69/10,084.00 = 4,077.31/x
  3. Step 3: Cross multiply
    7,307.69x = 10,084.00 × 4,077.31
  4. Step 4: Simplify right side
    7,307.69x = 41,115,558.64
  5. Step 5: Solve for x
    x = 41,115,558.64/7,307.69
  6. Step 6: Final answer
    x = 5,626.35

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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.