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Finding the Fourth Proportional to 7,055.65, 10,583.80 and 5,820.77

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Solution

The fourth proportional to 7,055.65, 10,583.80 and 5,820.77 is: 8,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.65 : 10,583.80 = 5,820.77 : x
  2. Step 2: Convert to fraction form
    7,055.65/10,583.80 = 5,820.77/x
  3. Step 3: Cross multiply
    7,055.65x = 10,583.80 × 5,820.77
  4. Step 4: Simplify right side
    7,055.65x = 61,605,865.53
  5. Step 5: Solve for x
    x = 61,605,865.53/7,055.65
  6. Step 6: Final answer
    x = 8,731.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.