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Finding the Fourth Proportional to 7,854.84, 11,782.73 and 2,307.69

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Solution

The fourth proportional to 7,854.84, 11,782.73 and 2,307.69 is: 3,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.84 : 11,782.73 = 2,307.69 : x
  2. Step 2: Convert to fraction form
    7,854.84/11,782.73 = 2,307.69/x
  3. Step 3: Cross multiply
    7,854.84x = 11,782.73 × 2,307.69
  4. Step 4: Simplify right side
    7,854.84x = 27,190,893.96
  5. Step 5: Solve for x
    x = 27,190,893.96/7,854.84
  6. Step 6: Final answer
    x = 3,461.67

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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.