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Finding the Fourth Proportional to 12,045.48, 16,623.38 and 6,740.38

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Solution

The fourth proportional to 12,045.48, 16,623.38 and 6,740.38 is: 9,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045.48 : 16,623.38 = 6,740.38 : x
  2. Step 2: Convert to fraction form
    12,045.48/16,623.38 = 6,740.38/x
  3. Step 3: Cross multiply
    12,045.48x = 16,623.38 × 6,740.38
  4. Step 4: Simplify right side
    12,045.48x = 112,047,898.08
  5. Step 5: Solve for x
    x = 112,047,898.08/12,045.48
  6. Step 6: Final answer
    x = 9,302.07

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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.