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Finding the Fourth Proportional to 10,383.56, 15,578.40 and 4,840.16

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Solution

The fourth proportional to 10,383.56, 15,578.40 and 4,840.16 is: 7,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.56 : 15,578.40 = 4,840.16 : x
  2. Step 2: Convert to fraction form
    10,383.56/15,578.40 = 4,840.16/x
  3. Step 3: Cross multiply
    10,383.56x = 15,578.40 × 4,840.16
  4. Step 4: Simplify right side
    10,383.56x = 75,401,948.54
  5. Step 5: Solve for x
    x = 75,401,948.54/10,383.56
  6. Step 6: Final answer
    x = 7,261.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.