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Finding the Fourth Proportional to 11,342.30, 15,652.29 and 6,306.98

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Solution

The fourth proportional to 11,342.30, 15,652.29 and 6,306.98 is: 8,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.30 : 15,652.29 = 6,306.98 : x
  2. Step 2: Convert to fraction form
    11,342.30/15,652.29 = 6,306.98/x
  3. Step 3: Cross multiply
    11,342.30x = 15,652.29 × 6,306.98
  4. Step 4: Simplify right side
    11,342.30x = 98,718,679.98
  5. Step 5: Solve for x
    x = 98,718,679.98/11,342.30
  6. Step 6: Final answer
    x = 8,703.59

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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.