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Finding the Fourth Proportional to 7,140.62, 10,711.63 and 2,460.00

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Solution

The fourth proportional to 7,140.62, 10,711.63 and 2,460.00 is: 3,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.62 : 10,711.63 = 2,460.00 : x
  2. Step 2: Convert to fraction form
    7,140.62/10,711.63 = 2,460.00/x
  3. Step 3: Cross multiply
    7,140.62x = 10,711.63 × 2,460.00
  4. Step 4: Simplify right side
    7,140.62x = 26,350,653.04
  5. Step 5: Solve for x
    x = 26,350,653.04/7,140.62
  6. Step 6: Final answer
    x = 3,690.25

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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.