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Finding the Fourth Proportional to 7,362, 10,159.48 and 4,377.77

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Solution

The fourth proportional to 7,362, 10,159.48 and 4,377.77 is: 6,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362 : 10,159.48 = 4,377.77 : x
  2. Step 2: Convert to fraction form
    7,362/10,159.48 = 4,377.77/x
  3. Step 3: Cross multiply
    7,362x = 10,159.48 × 4,377.77
  4. Step 4: Simplify right side
    7,362x = 44,475,859.53
  5. Step 5: Solve for x
    x = 44,475,859.53/7,362
  6. Step 6: Final answer
    x = 6,041.27

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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.