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Finding the Fourth Proportional to 10,714.91, 14,771.36 and 7,877.28

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Solution

The fourth proportional to 10,714.91, 14,771.36 and 7,877.28 is: 10,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.91 : 14,771.36 = 7,877.28 : x
  2. Step 2: Convert to fraction form
    10,714.91/14,771.36 = 7,877.28/x
  3. Step 3: Cross multiply
    10,714.91x = 14,771.36 × 7,877.28
  4. Step 4: Simplify right side
    10,714.91x = 116,358,158.39
  5. Step 5: Solve for x
    x = 116,358,158.39/10,714.91
  6. Step 6: Final answer
    x = 10,859.46

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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.