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Finding the Fourth Proportional to 10,283.10, 15,422.34 and 4,731.11

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Solution

The fourth proportional to 10,283.10, 15,422.34 and 4,731.11 is: 7,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.10 : 15,422.34 = 4,731.11 : x
  2. Step 2: Convert to fraction form
    10,283.10/15,422.34 = 4,731.11/x
  3. Step 3: Cross multiply
    10,283.10x = 15,422.34 × 4,731.11
  4. Step 4: Simplify right side
    10,283.10x = 72,964,787.00
  5. Step 5: Solve for x
    x = 72,964,787.00/10,283.10
  6. Step 6: Final answer
    x = 7,095.60

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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.