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Finding the Fourth Proportional to 11,700.57, 16,147.11 and 6,987.60

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Solution

The fourth proportional to 11,700.57, 16,147.11 and 6,987.60 is: 9,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.57 : 16,147.11 = 6,987.60 : x
  2. Step 2: Convert to fraction form
    11,700.57/16,147.11 = 6,987.60/x
  3. Step 3: Cross multiply
    11,700.57x = 16,147.11 × 6,987.60
  4. Step 4: Simplify right side
    11,700.57x = 112,829,545.84
  5. Step 5: Solve for x
    x = 112,829,545.84/11,700.57
  6. Step 6: Final answer
    x = 9,643.08

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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.