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Finding the Fourth Proportional to 10,210.56, 14,089.20 and 6,018

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Solution

The fourth proportional to 10,210.56, 14,089.20 and 6,018 is: 8,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.56 : 14,089.20 = 6,018 : x
  2. Step 2: Convert to fraction form
    10,210.56/14,089.20 = 6,018/x
  3. Step 3: Cross multiply
    10,210.56x = 14,089.20 × 6,018
  4. Step 4: Simplify right side
    10,210.56x = 84,788,805.60
  5. Step 5: Solve for x
    x = 84,788,805.60/10,210.56
  6. Step 6: Final answer
    x = 8,304.03

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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.