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Finding the Fourth Proportional to 10,195.24, 14,070 and 7,672.82

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Solution

The fourth proportional to 10,195.24, 14,070 and 7,672.82 is: 10,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.24 : 14,070 = 7,672.82 : x
  2. Step 2: Convert to fraction form
    10,195.24/14,070 = 7,672.82/x
  3. Step 3: Cross multiply
    10,195.24x = 14,070 × 7,672.82
  4. Step 4: Simplify right side
    10,195.24x = 107,956,577.40
  5. Step 5: Solve for x
    x = 107,956,577.40/10,195.24
  6. Step 6: Final answer
    x = 10,588.92

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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.