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Finding the Fourth Proportional to 11,570.14, 15,966.87 and 6,265

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Solution

The fourth proportional to 11,570.14, 15,966.87 and 6,265 is: 8,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.14 : 15,966.87 = 6,265 : x
  2. Step 2: Convert to fraction form
    11,570.14/15,966.87 = 6,265/x
  3. Step 3: Cross multiply
    11,570.14x = 15,966.87 × 6,265
  4. Step 4: Simplify right side
    11,570.14x = 100,032,440.55
  5. Step 5: Solve for x
    x = 100,032,440.55/11,570.14
  6. Step 6: Final answer
    x = 8,645.74

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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.