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Finding the Fourth Proportional to 10,826.48, 14,933.40 and 7,094

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Solution

The fourth proportional to 10,826.48, 14,933.40 and 7,094 is: 9,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.48 : 14,933.40 = 7,094 : x
  2. Step 2: Convert to fraction form
    10,826.48/14,933.40 = 7,094/x
  3. Step 3: Cross multiply
    10,826.48x = 14,933.40 × 7,094
  4. Step 4: Simplify right side
    10,826.48x = 105,937,539.60
  5. Step 5: Solve for x
    x = 105,937,539.60/10,826.48
  6. Step 6: Final answer
    x = 9,785.04

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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.