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Finding the Fourth Proportional to 10,172.30, 15,246.30 and 5,239.40

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Solution

The fourth proportional to 10,172.30, 15,246.30 and 5,239.40 is: 7,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.30 : 15,246.30 = 5,239.40 : x
  2. Step 2: Convert to fraction form
    10,172.30/15,246.30 = 5,239.40/x
  3. Step 3: Cross multiply
    10,172.30x = 15,246.30 × 5,239.40
  4. Step 4: Simplify right side
    10,172.30x = 79,881,464.22
  5. Step 5: Solve for x
    x = 79,881,464.22/10,172.30
  6. Step 6: Final answer
    x = 7,852.84

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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.