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Finding the Fourth Proportional to 10,390.16, 14,344.24 and 6,859.57

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Solution

The fourth proportional to 10,390.16, 14,344.24 and 6,859.57 is: 9,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.16 : 14,344.24 = 6,859.57 : x
  2. Step 2: Convert to fraction form
    10,390.16/14,344.24 = 6,859.57/x
  3. Step 3: Cross multiply
    10,390.16x = 14,344.24 × 6,859.57
  4. Step 4: Simplify right side
    10,390.16x = 98,395,265.37
  5. Step 5: Solve for x
    x = 98,395,265.37/10,390.16
  6. Step 6: Final answer
    x = 9,470.05

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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.