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Finding the Fourth Proportional to 10,515.12, 14,510.94 and 5,799.58

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Solution

The fourth proportional to 10,515.12, 14,510.94 and 5,799.58 is: 8,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.12 : 14,510.94 = 5,799.58 : x
  2. Step 2: Convert to fraction form
    10,515.12/14,510.94 = 5,799.58/x
  3. Step 3: Cross multiply
    10,515.12x = 14,510.94 × 5,799.58
  4. Step 4: Simplify right side
    10,515.12x = 84,157,357.41
  5. Step 5: Solve for x
    x = 84,157,357.41/10,515.12
  6. Step 6: Final answer
    x = 8,003.46

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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.