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Finding the Fourth Proportional to 10,301.78, 14,216.54 and 6,051.70

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Solution

The fourth proportional to 10,301.78, 14,216.54 and 6,051.70 is: 8,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.78 : 14,216.54 = 6,051.70 : x
  2. Step 2: Convert to fraction form
    10,301.78/14,216.54 = 6,051.70/x
  3. Step 3: Cross multiply
    10,301.78x = 14,216.54 × 6,051.70
  4. Step 4: Simplify right side
    10,301.78x = 86,034,235.12
  5. Step 5: Solve for x
    x = 86,034,235.12/10,301.78
  6. Step 6: Final answer
    x = 8,351.40

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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.