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Finding the Fourth Proportional to 11,681.64, 17,525.10 and 5,109.66

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Solution

The fourth proportional to 11,681.64, 17,525.10 and 5,109.66 is: 7,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.64 : 17,525.10 = 5,109.66 : x
  2. Step 2: Convert to fraction form
    11,681.64/17,525.10 = 5,109.66/x
  3. Step 3: Cross multiply
    11,681.64x = 17,525.10 × 5,109.66
  4. Step 4: Simplify right side
    11,681.64x = 89,547,302.47
  5. Step 5: Solve for x
    x = 89,547,302.47/11,681.64
  6. Step 6: Final answer
    x = 7,665.64

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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.