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Finding the Fourth Proportional to 10,597.50, 14,628.20 and 6,405.75

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Solution

The fourth proportional to 10,597.50, 14,628.20 and 6,405.75 is: 8,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.50 : 14,628.20 = 6,405.75 : x
  2. Step 2: Convert to fraction form
    10,597.50/14,628.20 = 6,405.75/x
  3. Step 3: Cross multiply
    10,597.50x = 14,628.20 × 6,405.75
  4. Step 4: Simplify right side
    10,597.50x = 93,704,560.12
  5. Step 5: Solve for x
    x = 93,704,560.12/10,597.50
  6. Step 6: Final answer
    x = 8,842.14

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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.