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Finding the Fourth Proportional to 11,322.88, 15,625.92 and 6,543.76

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Solution

The fourth proportional to 11,322.88, 15,625.92 and 6,543.76 is: 9,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.88 : 15,625.92 = 6,543.76 : x
  2. Step 2: Convert to fraction form
    11,322.88/15,625.92 = 6,543.76/x
  3. Step 3: Cross multiply
    11,322.88x = 15,625.92 × 6,543.76
  4. Step 4: Simplify right side
    11,322.88x = 102,252,270.26
  5. Step 5: Solve for x
    x = 102,252,270.26/11,322.88
  6. Step 6: Final answer
    x = 9,030.59

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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.