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Finding the Fourth Proportional to 10,853.70, 14,976.63 and 6,315.14

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Solution

The fourth proportional to 10,853.70, 14,976.63 and 6,315.14 is: 8,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.70 : 14,976.63 = 6,315.14 : x
  2. Step 2: Convert to fraction form
    10,853.70/14,976.63 = 6,315.14/x
  3. Step 3: Cross multiply
    10,853.70x = 14,976.63 × 6,315.14
  4. Step 4: Simplify right side
    10,853.70x = 94,579,440.30
  5. Step 5: Solve for x
    x = 94,579,440.30/10,853.70
  6. Step 6: Final answer
    x = 8,714.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.