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Finding the Fourth Proportional to 11,430.29, 15,770.85 and 7,182.02

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Solution

The fourth proportional to 11,430.29, 15,770.85 and 7,182.02 is: 9,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.29 : 15,770.85 = 7,182.02 : x
  2. Step 2: Convert to fraction form
    11,430.29/15,770.85 = 7,182.02/x
  3. Step 3: Cross multiply
    11,430.29x = 15,770.85 × 7,182.02
  4. Step 4: Simplify right side
    11,430.29x = 113,266,560.12
  5. Step 5: Solve for x
    x = 113,266,560.12/11,430.29
  6. Step 6: Final answer
    x = 9,909.33

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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.