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Finding the Fourth Proportional to 11,453.49, 15,804.90 and 6,416.57

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Solution

The fourth proportional to 11,453.49, 15,804.90 and 6,416.57 is: 8,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.49 : 15,804.90 = 6,416.57 : x
  2. Step 2: Convert to fraction form
    11,453.49/15,804.90 = 6,416.57/x
  3. Step 3: Cross multiply
    11,453.49x = 15,804.90 × 6,416.57
  4. Step 4: Simplify right side
    11,453.49x = 101,413,168.17
  5. Step 5: Solve for x
    x = 101,413,168.17/11,453.49
  6. Step 6: Final answer
    x = 8,854.35

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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.