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Finding the Fourth Proportional to 7,307.34, 10,959.48 and 2,112

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Solution

The fourth proportional to 7,307.34, 10,959.48 and 2,112 is: 3,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.34 : 10,959.48 = 2,112 : x
  2. Step 2: Convert to fraction form
    7,307.34/10,959.48 = 2,112/x
  3. Step 3: Cross multiply
    7,307.34x = 10,959.48 × 2,112
  4. Step 4: Simplify right side
    7,307.34x = 23,146,421.76
  5. Step 5: Solve for x
    x = 23,146,421.76/7,307.34
  6. Step 6: Final answer
    x = 3,167.56

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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.