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Finding the Fourth Proportional to 10,672.10, 14,707.58 and 7,682.75

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Solution

The fourth proportional to 10,672.10, 14,707.58 and 7,682.75 is: 10,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.10 : 14,707.58 = 7,682.75 : x
  2. Step 2: Convert to fraction form
    10,672.10/14,707.58 = 7,682.75/x
  3. Step 3: Cross multiply
    10,672.10x = 14,707.58 × 7,682.75
  4. Step 4: Simplify right side
    10,672.10x = 112,994,603.45
  5. Step 5: Solve for x
    x = 112,994,603.45/10,672.10
  6. Step 6: Final answer
    x = 10,587.85

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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.