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Finding the Fourth Proportional to 10,597.10, 14,624.75 and 5,881.34

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Solution

The fourth proportional to 10,597.10, 14,624.75 and 5,881.34 is: 8,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.10 : 14,624.75 = 5,881.34 : x
  2. Step 2: Convert to fraction form
    10,597.10/14,624.75 = 5,881.34/x
  3. Step 3: Cross multiply
    10,597.10x = 14,624.75 × 5,881.34
  4. Step 4: Simplify right side
    10,597.10x = 86,013,178.43
  5. Step 5: Solve for x
    x = 86,013,178.43/10,597.10
  6. Step 6: Final answer
    x = 8,116.68

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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.