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Finding the Fourth Proportional to 10,300.89, 15,423.66 and 8,474.06

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Solution

The fourth proportional to 10,300.89, 15,423.66 and 8,474.06 is: 12,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.89 : 15,423.66 = 8,474.06 : x
  2. Step 2: Convert to fraction form
    10,300.89/15,423.66 = 8,474.06/x
  3. Step 3: Cross multiply
    10,300.89x = 15,423.66 × 8,474.06
  4. Step 4: Simplify right side
    10,300.89x = 130,700,977.89
  5. Step 5: Solve for x
    x = 130,700,977.89/10,300.89
  6. Step 6: Final answer
    x = 12,688.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.