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Finding the Fourth Proportional to 10,307.42, 15,454.09 and 4,757.67

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Solution

The fourth proportional to 10,307.42, 15,454.09 and 4,757.67 is: 7,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.42 : 15,454.09 = 4,757.67 : x
  2. Step 2: Convert to fraction form
    10,307.42/15,454.09 = 4,757.67/x
  3. Step 3: Cross multiply
    10,307.42x = 15,454.09 × 4,757.67
  4. Step 4: Simplify right side
    10,307.42x = 73,525,466.32
  5. Step 5: Solve for x
    x = 73,525,466.32/10,307.42
  6. Step 6: Final answer
    x = 7,133.26

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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.