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Finding the Fourth Proportional to 27,598.77, 41,405.15 and 7,877.40

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Solution

The fourth proportional to 27,598.77, 41,405.15 and 7,877.40 is: 11,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.77 : 41,405.15 = 7,877.40 : x
  2. Step 2: Convert to fraction form
    27,598.77/41,405.15 = 7,877.40/x
  3. Step 3: Cross multiply
    27,598.77x = 41,405.15 × 7,877.40
  4. Step 4: Simplify right side
    27,598.77x = 326,164,889.22
  5. Step 5: Solve for x
    x = 326,164,889.22/27,598.77
  6. Step 6: Final answer
    x = 11,818.10

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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.