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Finding the Fourth Proportional to 7,102.32, 10,653.51 and 1,908.18

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Solution

The fourth proportional to 7,102.32, 10,653.51 and 1,908.18 is: 2,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.32 : 10,653.51 = 1,908.18 : x
  2. Step 2: Convert to fraction form
    7,102.32/10,653.51 = 1,908.18/x
  3. Step 3: Cross multiply
    7,102.32x = 10,653.51 × 1,908.18
  4. Step 4: Simplify right side
    7,102.32x = 20,328,814.71
  5. Step 5: Solve for x
    x = 20,328,814.71/7,102.32
  6. Step 6: Final answer
    x = 2,862.28

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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.