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Finding the Fourth Proportional to 10,274.61, 14,178.99 and 5,798.37

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Solution

The fourth proportional to 10,274.61, 14,178.99 and 5,798.37 is: 8,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.61 : 14,178.99 = 5,798.37 : x
  2. Step 2: Convert to fraction form
    10,274.61/14,178.99 = 5,798.37/x
  3. Step 3: Cross multiply
    10,274.61x = 14,178.99 × 5,798.37
  4. Step 4: Simplify right side
    10,274.61x = 82,215,030.25
  5. Step 5: Solve for x
    x = 82,215,030.25/10,274.61
  6. Step 6: Final answer
    x = 8,001.77

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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.