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Finding the Fourth Proportional to 7,032.75, 10,549.74 and 1,838.63

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Solution

The fourth proportional to 7,032.75, 10,549.74 and 1,838.63 is: 2,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.75 : 10,549.74 = 1,838.63 : x
  2. Step 2: Convert to fraction form
    7,032.75/10,549.74 = 1,838.63/x
  3. Step 3: Cross multiply
    7,032.75x = 10,549.74 × 1,838.63
  4. Step 4: Simplify right side
    7,032.75x = 19,397,015.71
  5. Step 5: Solve for x
    x = 19,397,015.71/7,032.75
  6. Step 6: Final answer
    x = 2,758.10

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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.