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Finding the Fourth Proportional to 8,492.72, 12,732.44 and 4,048.06

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Solution

The fourth proportional to 8,492.72, 12,732.44 and 4,048.06 is: 6,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.72 : 12,732.44 = 4,048.06 : x
  2. Step 2: Convert to fraction form
    8,492.72/12,732.44 = 4,048.06/x
  3. Step 3: Cross multiply
    8,492.72x = 12,732.44 × 4,048.06
  4. Step 4: Simplify right side
    8,492.72x = 51,541,681.07
  5. Step 5: Solve for x
    x = 51,541,681.07/8,492.72
  6. Step 6: Final answer
    x = 6,068.93

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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.