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Finding the Fourth Proportional to 7,274.71, 10,038.36 and 4,087.50

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Solution

The fourth proportional to 7,274.71, 10,038.36 and 4,087.50 is: 5,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.71 : 10,038.36 = 4,087.50 : x
  2. Step 2: Convert to fraction form
    7,274.71/10,038.36 = 4,087.50/x
  3. Step 3: Cross multiply
    7,274.71x = 10,038.36 × 4,087.50
  4. Step 4: Simplify right side
    7,274.71x = 41,031,818.90
  5. Step 5: Solve for x
    x = 41,031,818.90/7,274.71
  6. Step 6: Final answer
    x = 5,640.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.