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Finding the Fourth Proportional to 7,140.88, 10,709.26 and 2,460.70

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Solution

The fourth proportional to 7,140.88, 10,709.26 and 2,460.70 is: 3,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.88 : 10,709.26 = 2,460.70 : x
  2. Step 2: Convert to fraction form
    7,140.88/10,709.26 = 2,460.70/x
  3. Step 3: Cross multiply
    7,140.88x = 10,709.26 × 2,460.70
  4. Step 4: Simplify right side
    7,140.88x = 26,352,276.08
  5. Step 5: Solve for x
    x = 26,352,276.08/7,140.88
  6. Step 6: Final answer
    x = 3,690.34

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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.