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Finding the Fourth Proportional to 10,597, 14,624.18 and 5,881.72

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Solution

The fourth proportional to 10,597, 14,624.18 and 5,881.72 is: 8,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597 : 14,624.18 = 5,881.72 : x
  2. Step 2: Convert to fraction form
    10,597/14,624.18 = 5,881.72/x
  3. Step 3: Cross multiply
    10,597x = 14,624.18 × 5,881.72
  4. Step 4: Simplify right side
    10,597x = 86,015,331.99
  5. Step 5: Solve for x
    x = 86,015,331.99/10,597
  6. Step 6: Final answer
    x = 8,116.95

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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.