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Finding the Fourth Proportional to 6,898.12, 9,515.37 and 5,007.50

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Solution

The fourth proportional to 6,898.12, 9,515.37 and 5,007.50 is: 6,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.12 : 9,515.37 = 5,007.50 : x
  2. Step 2: Convert to fraction form
    6,898.12/9,515.37 = 5,007.50/x
  3. Step 3: Cross multiply
    6,898.12x = 9,515.37 × 5,007.50
  4. Step 4: Simplify right side
    6,898.12x = 47,648,215.28
  5. Step 5: Solve for x
    x = 47,648,215.28/6,898.12
  6. Step 6: Final answer
    x = 6,907.42

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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.