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Finding the Fourth Proportional to 7,140.65, 10,709.87 and 2,459.93

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Solution

The fourth proportional to 7,140.65, 10,709.87 and 2,459.93 is: 3,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.65 : 10,709.87 = 2,459.93 : x
  2. Step 2: Convert to fraction form
    7,140.65/10,709.87 = 2,459.93/x
  3. Step 3: Cross multiply
    7,140.65x = 10,709.87 × 2,459.93
  4. Step 4: Simplify right side
    7,140.65x = 26,345,464.66
  5. Step 5: Solve for x
    x = 26,345,464.66/7,140.65
  6. Step 6: Final answer
    x = 3,689.51

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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.