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Finding the Fourth Proportional to 11,123.76, 15,341.94 and 7,145.28

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Solution

The fourth proportional to 11,123.76, 15,341.94 and 7,145.28 is: 9,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123.76 : 15,341.94 = 7,145.28 : x
  2. Step 2: Convert to fraction form
    11,123.76/15,341.94 = 7,145.28/x
  3. Step 3: Cross multiply
    11,123.76x = 15,341.94 × 7,145.28
  4. Step 4: Simplify right side
    11,123.76x = 109,622,457.04
  5. Step 5: Solve for x
    x = 109,622,457.04/11,123.76
  6. Step 6: Final answer
    x = 9,854.80

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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.