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Finding the Fourth Proportional to 7,122.94, 10,681.47 and 2,124.23

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Solution

The fourth proportional to 7,122.94, 10,681.47 and 2,124.23 is: 3,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.94 : 10,681.47 = 2,124.23 : x
  2. Step 2: Convert to fraction form
    7,122.94/10,681.47 = 2,124.23/x
  3. Step 3: Cross multiply
    7,122.94x = 10,681.47 × 2,124.23
  4. Step 4: Simplify right side
    7,122.94x = 22,689,845.61
  5. Step 5: Solve for x
    x = 22,689,845.61/7,122.94
  6. Step 6: Final answer
    x = 3,185.46

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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.