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Finding the Fourth Proportional to 7,005.74, 10,508.63 and 4,048.70

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Solution

The fourth proportional to 7,005.74, 10,508.63 and 4,048.70 is: 6,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.74 : 10,508.63 = 4,048.70 : x
  2. Step 2: Convert to fraction form
    7,005.74/10,508.63 = 4,048.70/x
  3. Step 3: Cross multiply
    7,005.74x = 10,508.63 × 4,048.70
  4. Step 4: Simplify right side
    7,005.74x = 42,546,217.49
  5. Step 5: Solve for x
    x = 42,546,217.49/7,005.74
  6. Step 6: Final answer
    x = 6,073.06

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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.