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Finding the Fourth Proportional to 10,461.52, 14,436.92 and 5,746.10

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Solution

The fourth proportional to 10,461.52, 14,436.92 and 5,746.10 is: 7,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.52 : 14,436.92 = 5,746.10 : x
  2. Step 2: Convert to fraction form
    10,461.52/14,436.92 = 5,746.10/x
  3. Step 3: Cross multiply
    10,461.52x = 14,436.92 × 5,746.10
  4. Step 4: Simplify right side
    10,461.52x = 82,955,986.01
  5. Step 5: Solve for x
    x = 82,955,986.01/10,461.52
  6. Step 6: Final answer
    x = 7,929.63

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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.