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Finding the Fourth Proportional to 10,854.68, 16,289.91 and 7,164.72

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Solution

The fourth proportional to 10,854.68, 16,289.91 and 7,164.72 is: 10,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.68 : 16,289.91 = 7,164.72 : x
  2. Step 2: Convert to fraction form
    10,854.68/16,289.91 = 7,164.72/x
  3. Step 3: Cross multiply
    10,854.68x = 16,289.91 × 7,164.72
  4. Step 4: Simplify right side
    10,854.68x = 116,712,643.98
  5. Step 5: Solve for x
    x = 116,712,643.98/10,854.68
  6. Step 6: Final answer
    x = 10,752.29

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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.