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Finding the Fourth Proportional to 10,603.76, 14,642.46 and 6,631.64

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Solution

The fourth proportional to 10,603.76, 14,642.46 and 6,631.64 is: 9,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.76 : 14,642.46 = 6,631.64 : x
  2. Step 2: Convert to fraction form
    10,603.76/14,642.46 = 6,631.64/x
  3. Step 3: Cross multiply
    10,603.76x = 14,642.46 × 6,631.64
  4. Step 4: Simplify right side
    10,603.76x = 97,103,523.43
  5. Step 5: Solve for x
    x = 97,103,523.43/10,603.76
  6. Step 6: Final answer
    x = 9,157.46

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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.