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Finding the Fourth Proportional to 10,515.02, 14,510.34 and 5,799.20

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Solution

The fourth proportional to 10,515.02, 14,510.34 and 5,799.20 is: 8,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.02 : 14,510.34 = 5,799.20 : x
  2. Step 2: Convert to fraction form
    10,515.02/14,510.34 = 5,799.20/x
  3. Step 3: Cross multiply
    10,515.02x = 14,510.34 × 5,799.20
  4. Step 4: Simplify right side
    10,515.02x = 84,148,291.18
  5. Step 5: Solve for x
    x = 84,148,291.18/10,515.02
  6. Step 6: Final answer
    x = 8,002.68

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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.