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Finding the Fourth Proportional to 10,597.68, 14,620.23 and 6,403.50

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Solution

The fourth proportional to 10,597.68, 14,620.23 and 6,403.50 is: 8,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.68 : 14,620.23 = 6,403.50 : x
  2. Step 2: Convert to fraction form
    10,597.68/14,620.23 = 6,403.50/x
  3. Step 3: Cross multiply
    10,597.68x = 14,620.23 × 6,403.50
  4. Step 4: Simplify right side
    10,597.68x = 93,620,642.81
  5. Step 5: Solve for x
    x = 93,620,642.81/10,597.68
  6. Step 6: Final answer
    x = 8,834.07

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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.