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Finding the Fourth Proportional to 11,297.72, 15,585.48 and 7,522.64

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Solution

The fourth proportional to 11,297.72, 15,585.48 and 7,522.64 is: 10,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.72 : 15,585.48 = 7,522.64 : x
  2. Step 2: Convert to fraction form
    11,297.72/15,585.48 = 7,522.64/x
  3. Step 3: Cross multiply
    11,297.72x = 15,585.48 × 7,522.64
  4. Step 4: Simplify right side
    11,297.72x = 117,243,955.27
  5. Step 5: Solve for x
    x = 117,243,955.27/11,297.72
  6. Step 6: Final answer
    x = 10,377.67

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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.