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Finding the Fourth Proportional to 8,492.96, 12,736.72 and 5,888

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Solution

The fourth proportional to 8,492.96, 12,736.72 and 5,888 is: 8,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.96 : 12,736.72 = 5,888 : x
  2. Step 2: Convert to fraction form
    8,492.96/12,736.72 = 5,888/x
  3. Step 3: Cross multiply
    8,492.96x = 12,736.72 × 5,888
  4. Step 4: Simplify right side
    8,492.96x = 74,993,807.36
  5. Step 5: Solve for x
    x = 74,993,807.36/8,492.96
  6. Step 6: Final answer
    x = 8,830.11

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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.