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Finding the Fourth Proportional to 7,801.26, 11,641.52 and 6,970.50

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Solution

The fourth proportional to 7,801.26, 11,641.52 and 6,970.50 is: 10,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.26 : 11,641.52 = 6,970.50 : x
  2. Step 2: Convert to fraction form
    7,801.26/11,641.52 = 6,970.50/x
  3. Step 3: Cross multiply
    7,801.26x = 11,641.52 × 6,970.50
  4. Step 4: Simplify right side
    7,801.26x = 81,147,180.31
  5. Step 5: Solve for x
    x = 81,147,180.31/7,801.26
  6. Step 6: Final answer
    x = 10,401.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.