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Finding the Fourth Proportional to 11,403.16, 17,090.76 and 6,476.94

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Solution

The fourth proportional to 11,403.16, 17,090.76 and 6,476.94 is: 9,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.16 : 17,090.76 = 6,476.94 : x
  2. Step 2: Convert to fraction form
    11,403.16/17,090.76 = 6,476.94/x
  3. Step 3: Cross multiply
    11,403.16x = 17,090.76 × 6,476.94
  4. Step 4: Simplify right side
    11,403.16x = 110,695,827.07
  5. Step 5: Solve for x
    x = 110,695,827.07/11,403.16
  6. Step 6: Final answer
    x = 9,707.47

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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.