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Finding the Fourth Proportional to 7,471.84, 11,207.94 and 1,925.32

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Solution

The fourth proportional to 7,471.84, 11,207.94 and 1,925.32 is: 2,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.84 : 11,207.94 = 1,925.32 : x
  2. Step 2: Convert to fraction form
    7,471.84/11,207.94 = 1,925.32/x
  3. Step 3: Cross multiply
    7,471.84x = 11,207.94 × 1,925.32
  4. Step 4: Simplify right side
    7,471.84x = 21,578,871.04
  5. Step 5: Solve for x
    x = 21,578,871.04/7,471.84
  6. Step 6: Final answer
    x = 2,888.03

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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.