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Finding the Fourth Proportional to 10,488.58, 14,474.37 and 5,772.90

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Solution

The fourth proportional to 10,488.58, 14,474.37 and 5,772.90 is: 7,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.58 : 14,474.37 = 5,772.90 : x
  2. Step 2: Convert to fraction form
    10,488.58/14,474.37 = 5,772.90/x
  3. Step 3: Cross multiply
    10,488.58x = 14,474.37 × 5,772.90
  4. Step 4: Simplify right side
    10,488.58x = 83,559,090.57
  5. Step 5: Solve for x
    x = 83,559,090.57/10,488.58
  6. Step 6: Final answer
    x = 7,966.67

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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.