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Finding the Fourth Proportional to 10,721.60, 14,785.44 and 6,994.88

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Solution

The fourth proportional to 10,721.60, 14,785.44 and 6,994.88 is: 9,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.60 : 14,785.44 = 6,994.88 : x
  2. Step 2: Convert to fraction form
    10,721.60/14,785.44 = 6,994.88/x
  3. Step 3: Cross multiply
    10,721.60x = 14,785.44 × 6,994.88
  4. Step 4: Simplify right side
    10,721.60x = 103,422,378.55
  5. Step 5: Solve for x
    x = 103,422,378.55/10,721.60
  6. Step 6: Final answer
    x = 9,646.17

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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.