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Finding the Fourth Proportional to 7,032.63, 10,549.55 and 1,838.50

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Solution

The fourth proportional to 7,032.63, 10,549.55 and 1,838.50 is: 2,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.63 : 10,549.55 = 1,838.50 : x
  2. Step 2: Convert to fraction form
    7,032.63/10,549.55 = 1,838.50/x
  3. Step 3: Cross multiply
    7,032.63x = 10,549.55 × 1,838.50
  4. Step 4: Simplify right side
    7,032.63x = 19,395,347.68
  5. Step 5: Solve for x
    x = 19,395,347.68/7,032.63
  6. Step 6: Final answer
    x = 2,757.91

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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.