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Finding the Fourth Proportional to 11,235.84, 15,502.75 and 7,256.13

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Solution

The fourth proportional to 11,235.84, 15,502.75 and 7,256.13 is: 10,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.84 : 15,502.75 = 7,256.13 : x
  2. Step 2: Convert to fraction form
    11,235.84/15,502.75 = 7,256.13/x
  3. Step 3: Cross multiply
    11,235.84x = 15,502.75 × 7,256.13
  4. Step 4: Simplify right side
    11,235.84x = 112,489,969.36
  5. Step 5: Solve for x
    x = 112,489,969.36/11,235.84
  6. Step 6: Final answer
    x = 10,011.71

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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.