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Finding the Fourth Proportional to 7,070.88, 10,600.56 and 2,964

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Solution

The fourth proportional to 7,070.88, 10,600.56 and 2,964 is: 4,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.88 : 10,600.56 = 2,964 : x
  2. Step 2: Convert to fraction form
    7,070.88/10,600.56 = 2,964/x
  3. Step 3: Cross multiply
    7,070.88x = 10,600.56 × 2,964
  4. Step 4: Simplify right side
    7,070.88x = 31,420,059.84
  5. Step 5: Solve for x
    x = 31,420,059.84/7,070.88
  6. Step 6: Final answer
    x = 4,443.59

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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.