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Finding the Fourth Proportional to 11,449.23, 15,800.10 and 7,468.06

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Solution

The fourth proportional to 11,449.23, 15,800.10 and 7,468.06 is: 10,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.23 : 15,800.10 = 7,468.06 : x
  2. Step 2: Convert to fraction form
    11,449.23/15,800.10 = 7,468.06/x
  3. Step 3: Cross multiply
    11,449.23x = 15,800.10 × 7,468.06
  4. Step 4: Simplify right side
    11,449.23x = 117,996,094.81
  5. Step 5: Solve for x
    x = 117,996,094.81/11,449.23
  6. Step 6: Final answer
    x = 10,306.03

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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.