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Finding the Fourth Proportional to 10,395.57, 14,334.98 and 6,854.25

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Solution

The fourth proportional to 10,395.57, 14,334.98 and 6,854.25 is: 9,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.57 : 14,334.98 = 6,854.25 : x
  2. Step 2: Convert to fraction form
    10,395.57/14,334.98 = 6,854.25/x
  3. Step 3: Cross multiply
    10,395.57x = 14,334.98 × 6,854.25
  4. Step 4: Simplify right side
    10,395.57x = 98,255,502.39
  5. Step 5: Solve for x
    x = 98,255,502.39/10,395.57
  6. Step 6: Final answer
    x = 9,451.67

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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.