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Finding the Fourth Proportional to 11,570.78, 15,967.59 and 6,265.49

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Solution

The fourth proportional to 11,570.78, 15,967.59 and 6,265.49 is: 8,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.78 : 15,967.59 = 6,265.49 : x
  2. Step 2: Convert to fraction form
    11,570.78/15,967.59 = 6,265.49/x
  3. Step 3: Cross multiply
    11,570.78x = 15,967.59 × 6,265.49
  4. Step 4: Simplify right side
    11,570.78x = 100,044,695.63
  5. Step 5: Solve for x
    x = 100,044,695.63/11,570.78
  6. Step 6: Final answer
    x = 8,646.33

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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.