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Finding the Fourth Proportional to 11,430.72, 15,774.48 and 6,953.72

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Solution

The fourth proportional to 11,430.72, 15,774.48 and 6,953.72 is: 9,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.72 : 15,774.48 = 6,953.72 : x
  2. Step 2: Convert to fraction form
    11,430.72/15,774.48 = 6,953.72/x
  3. Step 3: Cross multiply
    11,430.72x = 15,774.48 × 6,953.72
  4. Step 4: Simplify right side
    11,430.72x = 109,691,238.19
  5. Step 5: Solve for x
    x = 109,691,238.19/11,430.72
  6. Step 6: Final answer
    x = 9,596.18

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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.