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Finding the Fourth Proportional to 10,415.88, 14,369.50 and 6,384.28

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Solution

The fourth proportional to 10,415.88, 14,369.50 and 6,384.28 is: 8,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.88 : 14,369.50 = 6,384.28 : x
  2. Step 2: Convert to fraction form
    10,415.88/14,369.50 = 6,384.28/x
  3. Step 3: Cross multiply
    10,415.88x = 14,369.50 × 6,384.28
  4. Step 4: Simplify right side
    10,415.88x = 91,738,911.46
  5. Step 5: Solve for x
    x = 91,738,911.46/10,415.88
  6. Step 6: Final answer
    x = 8,807.60

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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.