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Finding the Fourth Proportional to 11,338.60, 15,646.86 and 6,303.04

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Solution

The fourth proportional to 11,338.60, 15,646.86 and 6,303.04 is: 8,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.60 : 15,646.86 = 6,303.04 : x
  2. Step 2: Convert to fraction form
    11,338.60/15,646.86 = 6,303.04/x
  3. Step 3: Cross multiply
    11,338.60x = 15,646.86 × 6,303.04
  4. Step 4: Simplify right side
    11,338.60x = 98,622,784.45
  5. Step 5: Solve for x
    x = 98,622,784.45/11,338.60
  6. Step 6: Final answer
    x = 8,697.97

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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.