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Finding the Fourth Proportional to 8,335.99, 11,509.69 and 5,153.65

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Solution

The fourth proportional to 8,335.99, 11,509.69 and 5,153.65 is: 7,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.99 : 11,509.69 = 5,153.65 : x
  2. Step 2: Convert to fraction form
    8,335.99/11,509.69 = 5,153.65/x
  3. Step 3: Cross multiply
    8,335.99x = 11,509.69 × 5,153.65
  4. Step 4: Simplify right side
    8,335.99x = 59,316,839.69
  5. Step 5: Solve for x
    x = 59,316,839.69/8,335.99
  6. Step 6: Final answer
    x = 7,115.75

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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.