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Finding the Fourth Proportional to 11,453.16, 15,805.22 and 6,417.29

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Solution

The fourth proportional to 11,453.16, 15,805.22 and 6,417.29 is: 8,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.16 : 15,805.22 = 6,417.29 : x
  2. Step 2: Convert to fraction form
    11,453.16/15,805.22 = 6,417.29/x
  3. Step 3: Cross multiply
    11,453.16x = 15,805.22 × 6,417.29
  4. Step 4: Simplify right side
    11,453.16x = 101,426,569.14
  5. Step 5: Solve for x
    x = 101,426,569.14/11,453.16
  6. Step 6: Final answer
    x = 8,855.77

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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.