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Finding the Fourth Proportional to 10,597.79, 14,627.60 and 6,124.14

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Solution

The fourth proportional to 10,597.79, 14,627.60 and 6,124.14 is: 8,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.79 : 14,627.60 = 6,124.14 : x
  2. Step 2: Convert to fraction form
    10,597.79/14,627.60 = 6,124.14/x
  3. Step 3: Cross multiply
    10,597.79x = 14,627.60 × 6,124.14
  4. Step 4: Simplify right side
    10,597.79x = 89,581,470.26
  5. Step 5: Solve for x
    x = 89,581,470.26/10,597.79
  6. Step 6: Final answer
    x = 8,452.84

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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.