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Finding the Fourth Proportional to 7,587, 10,470.96 and 4,230.36

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Solution

The fourth proportional to 7,587, 10,470.96 and 4,230.36 is: 5,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587 : 10,470.96 = 4,230.36 : x
  2. Step 2: Convert to fraction form
    7,587/10,470.96 = 4,230.36/x
  3. Step 3: Cross multiply
    7,587x = 10,470.96 × 4,230.36
  4. Step 4: Simplify right side
    7,587x = 44,295,930.35
  5. Step 5: Solve for x
    x = 44,295,930.35/7,587
  6. Step 6: Final answer
    x = 5,838.40

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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.