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Finding the Fourth Proportional to 27,602.15, 41,390.75 and 7,876.01

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Solution

The fourth proportional to 27,602.15, 41,390.75 and 7,876.01 is: 11,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.15 : 41,390.75 = 7,876.01 : x
  2. Step 2: Convert to fraction form
    27,602.15/41,390.75 = 7,876.01/x
  3. Step 3: Cross multiply
    27,602.15x = 41,390.75 × 7,876.01
  4. Step 4: Simplify right side
    27,602.15x = 325,993,714.57
  5. Step 5: Solve for x
    x = 325,993,714.57/27,602.15
  6. Step 6: Final answer
    x = 11,810.45

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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.