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Finding the Fourth Proportional to 7,483.84, 11,225.72 and 1,937.20

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Solution

The fourth proportional to 7,483.84, 11,225.72 and 1,937.20 is: 2,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.84 : 11,225.72 = 1,937.20 : x
  2. Step 2: Convert to fraction form
    7,483.84/11,225.72 = 1,937.20/x
  3. Step 3: Cross multiply
    7,483.84x = 11,225.72 × 1,937.20
  4. Step 4: Simplify right side
    7,483.84x = 21,746,464.78
  5. Step 5: Solve for x
    x = 21,746,464.78/7,483.84
  6. Step 6: Final answer
    x = 2,905.79

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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.