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Finding the Fourth Proportional to 7,583.74, 10,471.19 and 4,603.60

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Solution

The fourth proportional to 7,583.74, 10,471.19 and 4,603.60 is: 6,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.74 : 10,471.19 = 4,603.60 : x
  2. Step 2: Convert to fraction form
    7,583.74/10,471.19 = 4,603.60/x
  3. Step 3: Cross multiply
    7,583.74x = 10,471.19 × 4,603.60
  4. Step 4: Simplify right side
    7,583.74x = 48,205,170.28
  5. Step 5: Solve for x
    x = 48,205,170.28/7,583.74
  6. Step 6: Final answer
    x = 6,356.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.