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Finding the Fourth Proportional to 7,225.63, 10,838.44 and 2,031.50

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Solution

The fourth proportional to 7,225.63, 10,838.44 and 2,031.50 is: 3,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.63 : 10,838.44 = 2,031.50 : x
  2. Step 2: Convert to fraction form
    7,225.63/10,838.44 = 2,031.50/x
  3. Step 3: Cross multiply
    7,225.63x = 10,838.44 × 2,031.50
  4. Step 4: Simplify right side
    7,225.63x = 22,018,290.86
  5. Step 5: Solve for x
    x = 22,018,290.86/7,225.63
  6. Step 6: Final answer
    x = 3,047.25

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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.