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Finding the Fourth Proportional to 8,709.80, 12,017.75 and 5,353.16

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Solution

The fourth proportional to 8,709.80, 12,017.75 and 5,353.16 is: 7,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.80 : 12,017.75 = 5,353.16 : x
  2. Step 2: Convert to fraction form
    8,709.80/12,017.75 = 5,353.16/x
  3. Step 3: Cross multiply
    8,709.80x = 12,017.75 × 5,353.16
  4. Step 4: Simplify right side
    8,709.80x = 64,332,851.74
  5. Step 5: Solve for x
    x = 64,332,851.74/8,709.80
  6. Step 6: Final answer
    x = 7,386.26

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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.