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Finding the Fourth Proportional to 7,177.71, 10,768.65 and 4,406.16

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Solution

The fourth proportional to 7,177.71, 10,768.65 and 4,406.16 is: 6,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.71 : 10,768.65 = 4,406.16 : x
  2. Step 2: Convert to fraction form
    7,177.71/10,768.65 = 4,406.16/x
  3. Step 3: Cross multiply
    7,177.71x = 10,768.65 × 4,406.16
  4. Step 4: Simplify right side
    7,177.71x = 47,448,341.04
  5. Step 5: Solve for x
    x = 47,448,341.04/7,177.71
  6. Step 6: Final answer
    x = 6,610.52

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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.