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Finding the Fourth Proportional to 11,159.48, 16,746.51 and 5,969

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Solution

The fourth proportional to 11,159.48, 16,746.51 and 5,969 is: 8,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.48 : 16,746.51 = 5,969 : x
  2. Step 2: Convert to fraction form
    11,159.48/16,746.51 = 5,969/x
  3. Step 3: Cross multiply
    11,159.48x = 16,746.51 × 5,969
  4. Step 4: Simplify right side
    11,159.48x = 99,959,918.19
  5. Step 5: Solve for x
    x = 99,959,918.19/11,159.48
  6. Step 6: Final answer
    x = 8,957.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.