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Finding the Fourth Proportional to 11,430.22, 15,771.72 and 6,715.48

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Solution

The fourth proportional to 11,430.22, 15,771.72 and 6,715.48 is: 9,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.22 : 15,771.72 = 6,715.48 : x
  2. Step 2: Convert to fraction form
    11,430.22/15,771.72 = 6,715.48/x
  3. Step 3: Cross multiply
    11,430.22x = 15,771.72 × 6,715.48
  4. Step 4: Simplify right side
    11,430.22x = 105,914,670.23
  5. Step 5: Solve for x
    x = 105,914,670.23/11,430.22
  6. Step 6: Final answer
    x = 9,266.20

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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.