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Finding the Fourth Proportional to 10,104.54, 15,146.88 and 4,838.05

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Solution

The fourth proportional to 10,104.54, 15,146.88 and 4,838.05 is: 7,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.54 : 15,146.88 = 4,838.05 : x
  2. Step 2: Convert to fraction form
    10,104.54/15,146.88 = 4,838.05/x
  3. Step 3: Cross multiply
    10,104.54x = 15,146.88 × 4,838.05
  4. Step 4: Simplify right side
    10,104.54x = 73,281,362.78
  5. Step 5: Solve for x
    x = 73,281,362.78/10,104.54
  6. Step 6: Final answer
    x = 7,252.32

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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.