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Finding the Fourth Proportional to 10,631.34, 14,671.35 and 6,654.74

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Solution

The fourth proportional to 10,631.34, 14,671.35 and 6,654.74 is: 9,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631.34 : 14,671.35 = 6,654.74 : x
  2. Step 2: Convert to fraction form
    10,631.34/14,671.35 = 6,654.74/x
  3. Step 3: Cross multiply
    10,631.34x = 14,671.35 × 6,654.74
  4. Step 4: Simplify right side
    10,631.34x = 97,633,946.34
  5. Step 5: Solve for x
    x = 97,633,946.34/10,631.34
  6. Step 6: Final answer
    x = 9,183.60

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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.