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Finding the Fourth Proportional to 7,283.76, 10,926.05 and 2,089.50

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Solution

The fourth proportional to 7,283.76, 10,926.05 and 2,089.50 is: 3,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.76 : 10,926.05 = 2,089.50 : x
  2. Step 2: Convert to fraction form
    7,283.76/10,926.05 = 2,089.50/x
  3. Step 3: Cross multiply
    7,283.76x = 10,926.05 × 2,089.50
  4. Step 4: Simplify right side
    7,283.76x = 22,829,981.48
  5. Step 5: Solve for x
    x = 22,829,981.48/7,283.76
  6. Step 6: Final answer
    x = 3,134.37

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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.