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Finding the Fourth Proportional to 11,563.58, 15,954.23 and 7,085.70

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Solution

The fourth proportional to 11,563.58, 15,954.23 and 7,085.70 is: 9,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.58 : 15,954.23 = 7,085.70 : x
  2. Step 2: Convert to fraction form
    11,563.58/15,954.23 = 7,085.70/x
  3. Step 3: Cross multiply
    11,563.58x = 15,954.23 × 7,085.70
  4. Step 4: Simplify right side
    11,563.58x = 113,046,905.23
  5. Step 5: Solve for x
    x = 113,046,905.23/11,563.58
  6. Step 6: Final answer
    x = 9,776.11

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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.