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Finding the Fourth Proportional to 28,583.50, 42,878.22 and 7,807

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Solution

The fourth proportional to 28,583.50, 42,878.22 and 7,807 is: 11,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,583.50 : 42,878.22 = 7,807 : x
  2. Step 2: Convert to fraction form
    28,583.50/42,878.22 = 7,807/x
  3. Step 3: Cross multiply
    28,583.50x = 42,878.22 × 7,807
  4. Step 4: Simplify right side
    28,583.50x = 334,750,263.54
  5. Step 5: Solve for x
    x = 334,750,263.54/28,583.50
  6. Step 6: Final answer
    x = 11,711.31

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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.