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Finding the Fourth Proportional to 10,853.34, 14,972.49 and 7,076.58

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Solution

The fourth proportional to 10,853.34, 14,972.49 and 7,076.58 is: 9,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.34 : 14,972.49 = 7,076.58 : x
  2. Step 2: Convert to fraction form
    10,853.34/14,972.49 = 7,076.58/x
  3. Step 3: Cross multiply
    10,853.34x = 14,972.49 × 7,076.58
  4. Step 4: Simplify right side
    10,853.34x = 105,954,023.28
  5. Step 5: Solve for x
    x = 105,954,023.28/10,853.34
  6. Step 6: Final answer
    x = 9,762.34

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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.