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Finding the Fourth Proportional to 8,307.44, 11,461.40 and 5,324.92

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Solution

The fourth proportional to 8,307.44, 11,461.40 and 5,324.92 is: 7,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.44 : 11,461.40 = 5,324.92 : x
  2. Step 2: Convert to fraction form
    8,307.44/11,461.40 = 5,324.92/x
  3. Step 3: Cross multiply
    8,307.44x = 11,461.40 × 5,324.92
  4. Step 4: Simplify right side
    8,307.44x = 61,031,011.46
  5. Step 5: Solve for x
    x = 61,031,011.46/8,307.44
  6. Step 6: Final answer
    x = 7,346.55

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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.