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Finding the Fourth Proportional to 11,512.94, 15,894.63 and 10,848.63

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Solution

The fourth proportional to 11,512.94, 15,894.63 and 10,848.63 is: 14,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.94 : 15,894.63 = 10,848.63 : x
  2. Step 2: Convert to fraction form
    11,512.94/15,894.63 = 10,848.63/x
  3. Step 3: Cross multiply
    11,512.94x = 15,894.63 × 10,848.63
  4. Step 4: Simplify right side
    11,512.94x = 172,435,019.46
  5. Step 5: Solve for x
    x = 172,435,019.46/11,512.94
  6. Step 6: Final answer
    x = 14,977.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.