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Finding the Fourth Proportional to 7,597.04, 11,376.68 and 6,499.76

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Solution

The fourth proportional to 7,597.04, 11,376.68 and 6,499.76 is: 9,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.04 : 11,376.68 = 6,499.76 : x
  2. Step 2: Convert to fraction form
    7,597.04/11,376.68 = 6,499.76/x
  3. Step 3: Cross multiply
    7,597.04x = 11,376.68 × 6,499.76
  4. Step 4: Simplify right side
    7,597.04x = 73,945,689.60
  5. Step 5: Solve for x
    x = 73,945,689.60/7,597.04
  6. Step 6: Final answer
    x = 9,733.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.