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Finding the Fourth Proportional to 7,151.76, 10,729.35 and 2,989.47

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Solution

The fourth proportional to 7,151.76, 10,729.35 and 2,989.47 is: 4,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.76 : 10,729.35 = 2,989.47 : x
  2. Step 2: Convert to fraction form
    7,151.76/10,729.35 = 2,989.47/x
  3. Step 3: Cross multiply
    7,151.76x = 10,729.35 × 2,989.47
  4. Step 4: Simplify right side
    7,151.76x = 32,075,069.94
  5. Step 5: Solve for x
    x = 32,075,069.94/7,151.76
  6. Step 6: Final answer
    x = 4,484.92

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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.