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Finding the Fourth Proportional to 7,810.32, 11,673.27 and 7,187.64

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Solution

The fourth proportional to 7,810.32, 11,673.27 and 7,187.64 is: 10,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.32 : 11,673.27 = 7,187.64 : x
  2. Step 2: Convert to fraction form
    7,810.32/11,673.27 = 7,187.64/x
  3. Step 3: Cross multiply
    7,810.32x = 11,673.27 × 7,187.64
  4. Step 4: Simplify right side
    7,810.32x = 83,903,262.38
  5. Step 5: Solve for x
    x = 83,903,262.38/7,810.32
  6. Step 6: Final answer
    x = 10,742.62

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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.