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Finding the Fourth Proportional to 10,597.40, 14,624.78 and 5,881.76

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Solution

The fourth proportional to 10,597.40, 14,624.78 and 5,881.76 is: 8,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.40 : 14,624.78 = 5,881.76 : x
  2. Step 2: Convert to fraction form
    10,597.40/14,624.78 = 5,881.76/x
  3. Step 3: Cross multiply
    10,597.40x = 14,624.78 × 5,881.76
  4. Step 4: Simplify right side
    10,597.40x = 86,019,446.01
  5. Step 5: Solve for x
    x = 86,019,446.01/10,597.40
  6. Step 6: Final answer
    x = 8,117.03

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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.