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Finding the Fourth Proportional to 27,525.57, 41,288.35 and 7,804.30

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Solution

The fourth proportional to 27,525.57, 41,288.35 and 7,804.30 is: 11,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,525.57 : 41,288.35 = 7,804.30 : x
  2. Step 2: Convert to fraction form
    27,525.57/41,288.35 = 7,804.30/x
  3. Step 3: Cross multiply
    27,525.57x = 41,288.35 × 7,804.30
  4. Step 4: Simplify right side
    27,525.57x = 322,226,547.17
  5. Step 5: Solve for x
    x = 322,226,547.17/27,525.57
  6. Step 6: Final answer
    x = 11,706.44

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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.