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Finding the Fourth Proportional to 10,557.64, 14,557.62 and 7,896.52

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Solution

The fourth proportional to 10,557.64, 14,557.62 and 7,896.52 is: 10,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.64 : 14,557.62 = 7,896.52 : x
  2. Step 2: Convert to fraction form
    10,557.64/14,557.62 = 7,896.52/x
  3. Step 3: Cross multiply
    10,557.64x = 14,557.62 × 7,896.52
  4. Step 4: Simplify right side
    10,557.64x = 114,954,537.48
  5. Step 5: Solve for x
    x = 114,954,537.48/10,557.64
  6. Step 6: Final answer
    x = 10,888.28

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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.