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Finding the Fourth Proportional to 10,698.48, 14,764.68 and 5,984.28

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Solution

The fourth proportional to 10,698.48, 14,764.68 and 5,984.28 is: 8,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.48 : 14,764.68 = 5,984.28 : x
  2. Step 2: Convert to fraction form
    10,698.48/14,764.68 = 5,984.28/x
  3. Step 3: Cross multiply
    10,698.48x = 14,764.68 × 5,984.28
  4. Step 4: Simplify right side
    10,698.48x = 88,355,979.23
  5. Step 5: Solve for x
    x = 88,355,979.23/10,698.48
  6. Step 6: Final answer
    x = 8,258.74

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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.