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Finding the Fourth Proportional to 10,605.15, 14,642.42 and 6,628.05

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Solution

The fourth proportional to 10,605.15, 14,642.42 and 6,628.05 is: 9,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.15 : 14,642.42 = 6,628.05 : x
  2. Step 2: Convert to fraction form
    10,605.15/14,642.42 = 6,628.05/x
  3. Step 3: Cross multiply
    10,605.15x = 14,642.42 × 6,628.05
  4. Step 4: Simplify right side
    10,605.15x = 97,050,635.24
  5. Step 5: Solve for x
    x = 97,050,635.24/10,605.15
  6. Step 6: Final answer
    x = 9,151.28

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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.