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Finding the Fourth Proportional to 11,453.59, 15,806.37 and 6,417.82

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Solution

The fourth proportional to 11,453.59, 15,806.37 and 6,417.82 is: 8,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.59 : 15,806.37 = 6,417.82 : x
  2. Step 2: Convert to fraction form
    11,453.59/15,806.37 = 6,417.82/x
  3. Step 3: Cross multiply
    11,453.59x = 15,806.37 × 6,417.82
  4. Step 4: Simplify right side
    11,453.59x = 101,442,437.51
  5. Step 5: Solve for x
    x = 101,442,437.51/11,453.59
  6. Step 6: Final answer
    x = 8,856.82

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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.