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Finding the Fourth Proportional to 10,338.69, 15,502.16 and 7,055.76

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Solution

The fourth proportional to 10,338.69, 15,502.16 and 7,055.76 is: 10,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.69 : 15,502.16 = 7,055.76 : x
  2. Step 2: Convert to fraction form
    10,338.69/15,502.16 = 7,055.76/x
  3. Step 3: Cross multiply
    10,338.69x = 15,502.16 × 7,055.76
  4. Step 4: Simplify right side
    10,338.69x = 109,379,485.16
  5. Step 5: Solve for x
    x = 109,379,485.16/10,338.69
  6. Step 6: Final answer
    x = 10,579.63

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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.