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Finding the Fourth Proportional to 10,937.43, 15,093.06 and 6,460.17

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Solution

The fourth proportional to 10,937.43, 15,093.06 and 6,460.17 is: 8,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.43 : 15,093.06 = 6,460.17 : x
  2. Step 2: Convert to fraction form
    10,937.43/15,093.06 = 6,460.17/x
  3. Step 3: Cross multiply
    10,937.43x = 15,093.06 × 6,460.17
  4. Step 4: Simplify right side
    10,937.43x = 97,503,733.42
  5. Step 5: Solve for x
    x = 97,503,733.42/10,937.43
  6. Step 6: Final answer
    x = 8,914.68

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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.