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Finding the Fourth Proportional to 10,488.67, 14,474.16 and 5,708.54

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Solution

The fourth proportional to 10,488.67, 14,474.16 and 5,708.54 is: 7,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.67 : 14,474.16 = 5,708.54 : x
  2. Step 2: Convert to fraction form
    10,488.67/14,474.16 = 5,708.54/x
  3. Step 3: Cross multiply
    10,488.67x = 14,474.16 × 5,708.54
  4. Step 4: Simplify right side
    10,488.67x = 82,626,357.51
  5. Step 5: Solve for x
    x = 82,626,357.51/10,488.67
  6. Step 6: Final answer
    x = 7,877.67

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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.