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Finding the Fourth Proportional to 8,492.54, 11,719.70 and 4,955.06

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Solution

The fourth proportional to 8,492.54, 11,719.70 and 4,955.06 is: 6,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.54 : 11,719.70 = 4,955.06 : x
  2. Step 2: Convert to fraction form
    8,492.54/11,719.70 = 4,955.06/x
  3. Step 3: Cross multiply
    8,492.54x = 11,719.70 × 4,955.06
  4. Step 4: Simplify right side
    8,492.54x = 58,071,821.21
  5. Step 5: Solve for x
    x = 58,071,821.21/8,492.54
  6. Step 6: Final answer
    x = 6,837.98

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Why These Related Problems?

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