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Finding the Fourth Proportional to 8,857.84, 13,288.59 and 7,407.13

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Solution

The fourth proportional to 8,857.84, 13,288.59 and 7,407.13 is: 11,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.84 : 13,288.59 = 7,407.13 : x
  2. Step 2: Convert to fraction form
    8,857.84/13,288.59 = 7,407.13/x
  3. Step 3: Cross multiply
    8,857.84x = 13,288.59 × 7,407.13
  4. Step 4: Simplify right side
    8,857.84x = 98,430,313.65
  5. Step 5: Solve for x
    x = 98,430,313.65/8,857.84
  6. Step 6: Final answer
    x = 11,112.23

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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.