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Finding the Fourth Proportional to 10,488.54, 14,473.92 and 6,014.94

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Solution

The fourth proportional to 10,488.54, 14,473.92 and 6,014.94 is: 8,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.54 : 14,473.92 = 6,014.94 : x
  2. Step 2: Convert to fraction form
    10,488.54/14,473.92 = 6,014.94/x
  3. Step 3: Cross multiply
    10,488.54x = 14,473.92 × 6,014.94
  4. Step 4: Simplify right side
    10,488.54x = 87,059,760.36
  5. Step 5: Solve for x
    x = 87,059,760.36/10,488.54
  6. Step 6: Final answer
    x = 8,300.47

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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.