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Finding the Fourth Proportional to 10,032.06, 15,048.01 and 7,842.63

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Solution

The fourth proportional to 10,032.06, 15,048.01 and 7,842.63 is: 11,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.06 : 15,048.01 = 7,842.63 : x
  2. Step 2: Convert to fraction form
    10,032.06/15,048.01 = 7,842.63/x
  3. Step 3: Cross multiply
    10,032.06x = 15,048.01 × 7,842.63
  4. Step 4: Simplify right side
    10,032.06x = 118,015,974.67
  5. Step 5: Solve for x
    x = 118,015,974.67/10,032.06
  6. Step 6: Final answer
    x = 11,763.88

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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.