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Finding the Fourth Proportional to 10,597.23, 14,623.74 and 5,881.82

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Solution

The fourth proportional to 10,597.23, 14,623.74 and 5,881.82 is: 8,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.23 : 14,623.74 = 5,881.82 : x
  2. Step 2: Convert to fraction form
    10,597.23/14,623.74 = 5,881.82/x
  3. Step 3: Cross multiply
    10,597.23x = 14,623.74 × 5,881.82
  4. Step 4: Simplify right side
    10,597.23x = 86,014,133.29
  5. Step 5: Solve for x
    x = 86,014,133.29/10,597.23
  6. Step 6: Final answer
    x = 8,116.66

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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.