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Finding the Fourth Proportional to 10,025.84, 15,036.86 and 5,094.02

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Solution

The fourth proportional to 10,025.84, 15,036.86 and 5,094.02 is: 7,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.84 : 15,036.86 = 5,094.02 : x
  2. Step 2: Convert to fraction form
    10,025.84/15,036.86 = 5,094.02/x
  3. Step 3: Cross multiply
    10,025.84x = 15,036.86 × 5,094.02
  4. Step 4: Simplify right side
    10,025.84x = 76,598,065.58
  5. Step 5: Solve for x
    x = 76,598,065.58/10,025.84
  6. Step 6: Final answer
    x = 7,640.06

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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.