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Finding the Fourth Proportional to 7,225.75, 10,838.63 and 2,031.63

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Solution

The fourth proportional to 7,225.75, 10,838.63 and 2,031.63 is: 3,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.75 : 10,838.63 = 2,031.63 : x
  2. Step 2: Convert to fraction form
    7,225.75/10,838.63 = 2,031.63/x
  3. Step 3: Cross multiply
    7,225.75x = 10,838.63 × 2,031.63
  4. Step 4: Simplify right side
    7,225.75x = 22,020,085.87
  5. Step 5: Solve for x
    x = 22,020,085.87/7,225.75
  6. Step 6: Final answer
    x = 3,047.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.