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Finding the Fourth Proportional to 7,440, 11,159.84 and 6,277.44

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Solution

The fourth proportional to 7,440, 11,159.84 and 6,277.44 is: 9,416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440 : 11,159.84 = 6,277.44 : x
  2. Step 2: Convert to fraction form
    7,440/11,159.84 = 6,277.44/x
  3. Step 3: Cross multiply
    7,440x = 11,159.84 × 6,277.44
  4. Step 4: Simplify right side
    7,440x = 70,055,226.01
  5. Step 5: Solve for x
    x = 70,055,226.01/7,440
  6. Step 6: Final answer
    x = 9,416.03

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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.