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Finding the Fourth Proportional to 6,909.66, 10,364.47 and 1,715.53

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Solution

The fourth proportional to 6,909.66, 10,364.47 and 1,715.53 is: 2,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.66 : 10,364.47 = 1,715.53 : x
  2. Step 2: Convert to fraction form
    6,909.66/10,364.47 = 1,715.53/x
  3. Step 3: Cross multiply
    6,909.66x = 10,364.47 × 1,715.53
  4. Step 4: Simplify right side
    6,909.66x = 17,780,559.22
  5. Step 5: Solve for x
    x = 17,780,559.22/6,909.66
  6. Step 6: Final answer
    x = 2,573.29

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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.