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Finding the Fourth Proportional to 10,870.83, 14,998.14 and 7,512.43

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Solution

The fourth proportional to 10,870.83, 14,998.14 and 7,512.43 is: 10,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.83 : 14,998.14 = 7,512.43 : x
  2. Step 2: Convert to fraction form
    10,870.83/14,998.14 = 7,512.43/x
  3. Step 3: Cross multiply
    10,870.83x = 14,998.14 × 7,512.43
  4. Step 4: Simplify right side
    10,870.83x = 112,672,476.88
  5. Step 5: Solve for x
    x = 112,672,476.88/10,870.83
  6. Step 6: Final answer
    x = 10,364.66

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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.