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Finding the Fourth Proportional to 12,010.30, 16,574.88 and 6,705.16

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Solution

The fourth proportional to 12,010.30, 16,574.88 and 6,705.16 is: 9,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.30 : 16,574.88 = 6,705.16 : x
  2. Step 2: Convert to fraction form
    12,010.30/16,574.88 = 6,705.16/x
  3. Step 3: Cross multiply
    12,010.30x = 16,574.88 × 6,705.16
  4. Step 4: Simplify right side
    12,010.30x = 111,137,222.38
  5. Step 5: Solve for x
    x = 111,137,222.38/12,010.30
  6. Step 6: Final answer
    x = 9,253.49

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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.