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Finding the Fourth Proportional to 10,435.06, 14,394.96 and 7,076.68

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Solution

The fourth proportional to 10,435.06, 14,394.96 and 7,076.68 is: 9,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.06 : 14,394.96 = 7,076.68 : x
  2. Step 2: Convert to fraction form
    10,435.06/14,394.96 = 7,076.68/x
  3. Step 3: Cross multiply
    10,435.06x = 14,394.96 × 7,076.68
  4. Step 4: Simplify right side
    10,435.06x = 101,868,525.53
  5. Step 5: Solve for x
    x = 101,868,525.53/10,435.06
  6. Step 6: Final answer
    x = 9,762.14

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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.