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Finding the Fourth Proportional to 7,137.90, 10,710.66 and 2,980.74

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Solution

The fourth proportional to 7,137.90, 10,710.66 and 2,980.74 is: 4,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.90 : 10,710.66 = 2,980.74 : x
  2. Step 2: Convert to fraction form
    7,137.90/10,710.66 = 2,980.74/x
  3. Step 3: Cross multiply
    7,137.90x = 10,710.66 × 2,980.74
  4. Step 4: Simplify right side
    7,137.90x = 31,925,692.69
  5. Step 5: Solve for x
    x = 31,925,692.69/7,137.90
  6. Step 6: Final answer
    x = 4,472.70

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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.