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Finding the Fourth Proportional to 7,718.98, 11,578.36 and 1,875.57

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Solution

The fourth proportional to 7,718.98, 11,578.36 and 1,875.57 is: 2,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.98 : 11,578.36 = 1,875.57 : x
  2. Step 2: Convert to fraction form
    7,718.98/11,578.36 = 1,875.57/x
  3. Step 3: Cross multiply
    7,718.98x = 11,578.36 × 1,875.57
  4. Step 4: Simplify right side
    7,718.98x = 21,716,024.67
  5. Step 5: Solve for x
    x = 21,716,024.67/7,718.98
  6. Step 6: Final answer
    x = 2,813.33

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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.