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Finding the Fourth Proportional to 7,769.12, 11,598.29 and 7,495.74

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Solution

The fourth proportional to 7,769.12, 11,598.29 and 7,495.74 is: 11,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.12 : 11,598.29 = 7,495.74 : x
  2. Step 2: Convert to fraction form
    7,769.12/11,598.29 = 7,495.74/x
  3. Step 3: Cross multiply
    7,769.12x = 11,598.29 × 7,495.74
  4. Step 4: Simplify right side
    7,769.12x = 86,937,756.91
  5. Step 5: Solve for x
    x = 86,937,756.91/7,769.12
  6. Step 6: Final answer
    x = 11,190.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.