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Finding the Fourth Proportional to 11,570.16, 17,291.76 and 8,456.72

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Solution

The fourth proportional to 11,570.16, 17,291.76 and 8,456.72 is: 12,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.16 : 17,291.76 = 8,456.72 : x
  2. Step 2: Convert to fraction form
    11,570.16/17,291.76 = 8,456.72/x
  3. Step 3: Cross multiply
    11,570.16x = 17,291.76 × 8,456.72
  4. Step 4: Simplify right side
    11,570.16x = 146,231,572.63
  5. Step 5: Solve for x
    x = 146,231,572.63/11,570.16
  6. Step 6: Final answer
    x = 12,638.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.