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Finding the Fourth Proportional to 11,702.48, 16,159.92 and 10,886

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Solution

The fourth proportional to 11,702.48, 16,159.92 and 10,886 is: 15,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.48 : 16,159.92 = 10,886 : x
  2. Step 2: Convert to fraction form
    11,702.48/16,159.92 = 10,886/x
  3. Step 3: Cross multiply
    11,702.48x = 16,159.92 × 10,886
  4. Step 4: Simplify right side
    11,702.48x = 175,916,889.12
  5. Step 5: Solve for x
    x = 175,916,889.12/11,702.48
  6. Step 6: Final answer
    x = 15,032.45

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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.