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Finding the Fourth Proportional to 7,587.94, 10,471.32 and 4,230.72

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Solution

The fourth proportional to 7,587.94, 10,471.32 and 4,230.72 is: 5,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.94 : 10,471.32 = 4,230.72 : x
  2. Step 2: Convert to fraction form
    7,587.94/10,471.32 = 4,230.72/x
  3. Step 3: Cross multiply
    7,587.94x = 10,471.32 × 4,230.72
  4. Step 4: Simplify right side
    7,587.94x = 44,301,222.95
  5. Step 5: Solve for x
    x = 44,301,222.95/7,587.94
  6. Step 6: Final answer
    x = 5,838.37

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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.