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Finding the Fourth Proportional to 7,002.63, 10,500.23 and 2,071.59

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Solution

The fourth proportional to 7,002.63, 10,500.23 and 2,071.59 is: 3,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.63 : 10,500.23 = 2,071.59 : x
  2. Step 2: Convert to fraction form
    7,002.63/10,500.23 = 2,071.59/x
  3. Step 3: Cross multiply
    7,002.63x = 10,500.23 × 2,071.59
  4. Step 4: Simplify right side
    7,002.63x = 21,752,108.61
  5. Step 5: Solve for x
    x = 21,752,108.61/7,002.63
  6. Step 6: Final answer
    x = 3,106.28

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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.