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Finding the Fourth Proportional to 10,584.16, 14,604.18 and 6,856

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Solution

The fourth proportional to 10,584.16, 14,604.18 and 6,856 is: 9,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.16 : 14,604.18 = 6,856 : x
  2. Step 2: Convert to fraction form
    10,584.16/14,604.18 = 6,856/x
  3. Step 3: Cross multiply
    10,584.16x = 14,604.18 × 6,856
  4. Step 4: Simplify right side
    10,584.16x = 100,126,258.08
  5. Step 5: Solve for x
    x = 100,126,258.08/10,584.16
  6. Step 6: Final answer
    x = 9,460.01

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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.