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Finding the Fourth Proportional to 11,466.72, 15,823.76 and 6,430.52

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Solution

The fourth proportional to 11,466.72, 15,823.76 and 6,430.52 is: 8,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.72 : 15,823.76 = 6,430.52 : x
  2. Step 2: Convert to fraction form
    11,466.72/15,823.76 = 6,430.52/x
  3. Step 3: Cross multiply
    11,466.72x = 15,823.76 × 6,430.52
  4. Step 4: Simplify right side
    11,466.72x = 101,755,005.16
  5. Step 5: Solve for x
    x = 101,755,005.16/11,466.72
  6. Step 6: Final answer
    x = 8,873.94

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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.