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Finding the Fourth Proportional to 7,716.40, 11,574.64 and 1,873.04

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Solution

The fourth proportional to 7,716.40, 11,574.64 and 1,873.04 is: 2,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.40 : 11,574.64 = 1,873.04 : x
  2. Step 2: Convert to fraction form
    7,716.40/11,574.64 = 1,873.04/x
  3. Step 3: Cross multiply
    7,716.40x = 11,574.64 × 1,873.04
  4. Step 4: Simplify right side
    7,716.40x = 21,679,763.71
  5. Step 5: Solve for x
    x = 21,679,763.71/7,716.40
  6. Step 6: Final answer
    x = 2,809.57

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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.