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Finding the Fourth Proportional to 7,055.98, 10,584.50 and 2,376

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Solution

The fourth proportional to 7,055.98, 10,584.50 and 2,376 is: 3,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.98 : 10,584.50 = 2,376 : x
  2. Step 2: Convert to fraction form
    7,055.98/10,584.50 = 2,376/x
  3. Step 3: Cross multiply
    7,055.98x = 10,584.50 × 2,376
  4. Step 4: Simplify right side
    7,055.98x = 25,148,772
  5. Step 5: Solve for x
    x = 25,148,772/7,055.98
  6. Step 6: Final answer
    x = 3,564.18

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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.