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Finding the Fourth Proportional to 8,329.58, 11,475.29 and 5,807.15

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Solution

The fourth proportional to 8,329.58, 11,475.29 and 5,807.15 is: 8,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.58 : 11,475.29 = 5,807.15 : x
  2. Step 2: Convert to fraction form
    8,329.58/11,475.29 = 5,807.15/x
  3. Step 3: Cross multiply
    8,329.58x = 11,475.29 × 5,807.15
  4. Step 4: Simplify right side
    8,329.58x = 66,638,643.91
  5. Step 5: Solve for x
    x = 66,638,643.91/8,329.58
  6. Step 6: Final answer
    x = 8,000.25

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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.