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Finding the Fourth Proportional to 12,828.48, 17,707.98 and 7,527.72

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Solution

The fourth proportional to 12,828.48, 17,707.98 and 7,527.72 is: 10,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.48 : 17,707.98 = 7,527.72 : x
  2. Step 2: Convert to fraction form
    12,828.48/17,707.98 = 7,527.72/x
  3. Step 3: Cross multiply
    12,828.48x = 17,707.98 × 7,527.72
  4. Step 4: Simplify right side
    12,828.48x = 133,300,715.21
  5. Step 5: Solve for x
    x = 133,300,715.21/12,828.48
  6. Step 6: Final answer
    x = 10,391.00

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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.