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Finding the Fourth Proportional to 10,854.64, 16,267.16 and 6,113.07

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Solution

The fourth proportional to 10,854.64, 16,267.16 and 6,113.07 is: 9,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.64 : 16,267.16 = 6,113.07 : x
  2. Step 2: Convert to fraction form
    10,854.64/16,267.16 = 6,113.07/x
  3. Step 3: Cross multiply
    10,854.64x = 16,267.16 × 6,113.07
  4. Step 4: Simplify right side
    10,854.64x = 99,442,303.06
  5. Step 5: Solve for x
    x = 99,442,303.06/10,854.64
  6. Step 6: Final answer
    x = 9,161.27

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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.