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Finding the Fourth Proportional to 11,338.42, 15,646.95 and 6,302.56

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Solution

The fourth proportional to 11,338.42, 15,646.95 and 6,302.56 is: 8,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.42 : 15,646.95 = 6,302.56 : x
  2. Step 2: Convert to fraction form
    11,338.42/15,646.95 = 6,302.56/x
  3. Step 3: Cross multiply
    11,338.42x = 15,646.95 × 6,302.56
  4. Step 4: Simplify right side
    11,338.42x = 98,615,841.19
  5. Step 5: Solve for x
    x = 98,615,841.19/11,338.42
  6. Step 6: Final answer
    x = 8,697.49

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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.