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Finding the Fourth Proportional to 10,604.26, 14,643.15 and 6,632.14

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Solution

The fourth proportional to 10,604.26, 14,643.15 and 6,632.14 is: 9,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.26 : 14,643.15 = 6,632.14 : x
  2. Step 2: Convert to fraction form
    10,604.26/14,643.15 = 6,632.14/x
  3. Step 3: Cross multiply
    10,604.26x = 14,643.15 × 6,632.14
  4. Step 4: Simplify right side
    10,604.26x = 97,115,420.84
  5. Step 5: Solve for x
    x = 97,115,420.84/10,604.26
  6. Step 6: Final answer
    x = 9,158.15

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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.