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Finding the Fourth Proportional to 8,574.88, 11,834.85 and 5,038.09

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Solution

The fourth proportional to 8,574.88, 11,834.85 and 5,038.09 is: 6,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.88 : 11,834.85 = 5,038.09 : x
  2. Step 2: Convert to fraction form
    8,574.88/11,834.85 = 5,038.09/x
  3. Step 3: Cross multiply
    8,574.88x = 11,834.85 × 5,038.09
  4. Step 4: Simplify right side
    8,574.88x = 59,624,955.07
  5. Step 5: Solve for x
    x = 59,624,955.07/8,574.88
  6. Step 6: Final answer
    x = 6,953.45

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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.