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Finding the Fourth Proportional to 10,671.16, 14,709.43 and 7,308.16

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Solution

The fourth proportional to 10,671.16, 14,709.43 and 7,308.16 is: 10,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.16 : 14,709.43 = 7,308.16 : x
  2. Step 2: Convert to fraction form
    10,671.16/14,709.43 = 7,308.16/x
  3. Step 3: Cross multiply
    10,671.16x = 14,709.43 × 7,308.16
  4. Step 4: Simplify right side
    10,671.16x = 107,498,867.95
  5. Step 5: Solve for x
    x = 107,498,867.95/10,671.16
  6. Step 6: Final answer
    x = 10,073.78

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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.