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Finding the Fourth Proportional to 7,662.51, 10,580.17 and 6,177.06

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Solution

The fourth proportional to 7,662.51, 10,580.17 and 6,177.06 is: 8,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.51 : 10,580.17 = 6,177.06 : x
  2. Step 2: Convert to fraction form
    7,662.51/10,580.17 = 6,177.06/x
  3. Step 3: Cross multiply
    7,662.51x = 10,580.17 × 6,177.06
  4. Step 4: Simplify right side
    7,662.51x = 65,354,303.01
  5. Step 5: Solve for x
    x = 65,354,303.01/7,662.51
  6. Step 6: Final answer
    x = 8,529.10

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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.