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Finding the Fourth Proportional to 10,692.21, 14,751.66 and 6,920.16

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Solution

The fourth proportional to 10,692.21, 14,751.66 and 6,920.16 is: 9,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.21 : 14,751.66 = 6,920.16 : x
  2. Step 2: Convert to fraction form
    10,692.21/14,751.66 = 6,920.16/x
  3. Step 3: Cross multiply
    10,692.21x = 14,751.66 × 6,920.16
  4. Step 4: Simplify right side
    10,692.21x = 102,083,847.47
  5. Step 5: Solve for x
    x = 102,083,847.47/10,692.21
  6. Step 6: Final answer
    x = 9,547.50

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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.