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Finding the Fourth Proportional to 11,230.94, 16,848.32 and 4,653.53

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Solution

The fourth proportional to 11,230.94, 16,848.32 and 4,653.53 is: 6,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.94 : 16,848.32 = 4,653.53 : x
  2. Step 2: Convert to fraction form
    11,230.94/16,848.32 = 4,653.53/x
  3. Step 3: Cross multiply
    11,230.94x = 16,848.32 × 4,653.53
  4. Step 4: Simplify right side
    11,230.94x = 78,404,055.06
  5. Step 5: Solve for x
    x = 78,404,055.06/11,230.94
  6. Step 6: Final answer
    x = 6,981.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.