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Finding the Fourth Proportional to 7,137.46, 10,698.90 and 2,456.07

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Solution

The fourth proportional to 7,137.46, 10,698.90 and 2,456.07 is: 3,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.46 : 10,698.90 = 2,456.07 : x
  2. Step 2: Convert to fraction form
    7,137.46/10,698.90 = 2,456.07/x
  3. Step 3: Cross multiply
    7,137.46x = 10,698.90 × 2,456.07
  4. Step 4: Simplify right side
    7,137.46x = 26,277,247.32
  5. Step 5: Solve for x
    x = 26,277,247.32/7,137.46
  6. Step 6: Final answer
    x = 3,681.60

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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.