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Finding the Fourth Proportional to 8,492.06, 11,718.50 and 4,715.06

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Solution

The fourth proportional to 8,492.06, 11,718.50 and 4,715.06 is: 6,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.06 : 11,718.50 = 4,715.06 : x
  2. Step 2: Convert to fraction form
    8,492.06/11,718.50 = 4,715.06/x
  3. Step 3: Cross multiply
    8,492.06x = 11,718.50 × 4,715.06
  4. Step 4: Simplify right side
    8,492.06x = 55,253,348.44
  5. Step 5: Solve for x
    x = 55,253,348.44/8,492.06
  6. Step 6: Final answer
    x = 6,506.47

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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.