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Finding the Fourth Proportional to 10,594.36, 14,623.05 and 6,613.07

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Solution

The fourth proportional to 10,594.36, 14,623.05 and 6,613.07 is: 9,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.36 : 14,623.05 = 6,613.07 : x
  2. Step 2: Convert to fraction form
    10,594.36/14,623.05 = 6,613.07/x
  3. Step 3: Cross multiply
    10,594.36x = 14,623.05 × 6,613.07
  4. Step 4: Simplify right side
    10,594.36x = 96,703,220.20
  5. Step 5: Solve for x
    x = 96,703,220.20/10,594.36
  6. Step 6: Final answer
    x = 9,127.81

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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.