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Finding the Fourth Proportional to 7,543.04, 11,314.44 and 2,277.84

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Solution

The fourth proportional to 7,543.04, 11,314.44 and 2,277.84 is: 3,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.04 : 11,314.44 = 2,277.84 : x
  2. Step 2: Convert to fraction form
    7,543.04/11,314.44 = 2,277.84/x
  3. Step 3: Cross multiply
    7,543.04x = 11,314.44 × 2,277.84
  4. Step 4: Simplify right side
    7,543.04x = 25,772,484.01
  5. Step 5: Solve for x
    x = 25,772,484.01/7,543.04
  6. Step 6: Final answer
    x = 3,416.72

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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.