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Finding the Fourth Proportional to 10,352.82, 14,295.33 and 6,822.90

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Solution

The fourth proportional to 10,352.82, 14,295.33 and 6,822.90 is: 9,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.82 : 14,295.33 = 6,822.90 : x
  2. Step 2: Convert to fraction form
    10,352.82/14,295.33 = 6,822.90/x
  3. Step 3: Cross multiply
    10,352.82x = 14,295.33 × 6,822.90
  4. Step 4: Simplify right side
    10,352.82x = 97,535,607.06
  5. Step 5: Solve for x
    x = 97,535,607.06/10,352.82
  6. Step 6: Final answer
    x = 9,421.16

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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.