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Finding the Fourth Proportional to 11,306.61, 15,602.57 and 6,270.44

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Solution

The fourth proportional to 11,306.61, 15,602.57 and 6,270.44 is: 8,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.61 : 15,602.57 = 6,270.44 : x
  2. Step 2: Convert to fraction form
    11,306.61/15,602.57 = 6,270.44/x
  3. Step 3: Cross multiply
    11,306.61x = 15,602.57 × 6,270.44
  4. Step 4: Simplify right side
    11,306.61x = 97,834,869.67
  5. Step 5: Solve for x
    x = 97,834,869.67/11,306.61
  6. Step 6: Final answer
    x = 8,652.89

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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.