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Finding the Fourth Proportional to 10,597.98, 14,624.46 and 5,881.86

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Solution

The fourth proportional to 10,597.98, 14,624.46 and 5,881.86 is: 8,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.98 : 14,624.46 = 5,881.86 : x
  2. Step 2: Convert to fraction form
    10,597.98/14,624.46 = 5,881.86/x
  3. Step 3: Cross multiply
    10,597.98x = 14,624.46 × 5,881.86
  4. Step 4: Simplify right side
    10,597.98x = 86,019,026.30
  5. Step 5: Solve for x
    x = 86,019,026.30/10,597.98
  6. Step 6: Final answer
    x = 8,116.55

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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.