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Finding the Fourth Proportional to 11,534.40, 15,917.04 and 6,498.81

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Solution

The fourth proportional to 11,534.40, 15,917.04 and 6,498.81 is: 8,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.40 : 15,917.04 = 6,498.81 : x
  2. Step 2: Convert to fraction form
    11,534.40/15,917.04 = 6,498.81/x
  3. Step 3: Cross multiply
    11,534.40x = 15,917.04 × 6,498.81
  4. Step 4: Simplify right side
    11,534.40x = 103,441,818.72
  5. Step 5: Solve for x
    x = 103,441,818.72/11,534.40
  6. Step 6: Final answer
    x = 8,968.11

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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.