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Finding the Fourth Proportional to 10,622.72, 14,652.42 and 7,085.72

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Solution

The fourth proportional to 10,622.72, 14,652.42 and 7,085.72 is: 9,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.72 : 14,652.42 = 7,085.72 : x
  2. Step 2: Convert to fraction form
    10,622.72/14,652.42 = 7,085.72/x
  3. Step 3: Cross multiply
    10,622.72x = 14,652.42 × 7,085.72
  4. Step 4: Simplify right side
    10,622.72x = 103,822,945.44
  5. Step 5: Solve for x
    x = 103,822,945.44/10,622.72
  6. Step 6: Final answer
    x = 9,773.67

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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.