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Finding the Fourth Proportional to 7,823, 11,730.84 and 4,537.02

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Solution

The fourth proportional to 7,823, 11,730.84 and 4,537.02 is: 6,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823 : 11,730.84 = 4,537.02 : x
  2. Step 2: Convert to fraction form
    7,823/11,730.84 = 4,537.02/x
  3. Step 3: Cross multiply
    7,823x = 11,730.84 × 4,537.02
  4. Step 4: Simplify right side
    7,823x = 53,223,055.70
  5. Step 5: Solve for x
    x = 53,223,055.70/7,823
  6. Step 6: Final answer
    x = 6,803.41

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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.