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Finding the Fourth Proportional to 10,461.72, 14,437.46 and 5,746.30

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Solution

The fourth proportional to 10,461.72, 14,437.46 and 5,746.30 is: 7,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.72 : 14,437.46 = 5,746.30 : x
  2. Step 2: Convert to fraction form
    10,461.72/14,437.46 = 5,746.30/x
  3. Step 3: Cross multiply
    10,461.72x = 14,437.46 × 5,746.30
  4. Step 4: Simplify right side
    10,461.72x = 82,961,976.40
  5. Step 5: Solve for x
    x = 82,961,976.40/10,461.72
  6. Step 6: Final answer
    x = 7,930.05

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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.