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Finding the Fourth Proportional to 10,384.59, 14,310.14 and 7,395.15

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Solution

The fourth proportional to 10,384.59, 14,310.14 and 7,395.15 is: 10,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.59 : 14,310.14 = 7,395.15 : x
  2. Step 2: Convert to fraction form
    10,384.59/14,310.14 = 7,395.15/x
  3. Step 3: Cross multiply
    10,384.59x = 14,310.14 × 7,395.15
  4. Step 4: Simplify right side
    10,384.59x = 105,825,594.85
  5. Step 5: Solve for x
    x = 105,825,594.85/10,384.59
  6. Step 6: Final answer
    x = 10,190.64

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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.