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Finding the Fourth Proportional to 8,597, 11,863.86 and 4,871

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Solution

The fourth proportional to 8,597, 11,863.86 and 4,871 is: 6,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597 : 11,863.86 = 4,871 : x
  2. Step 2: Convert to fraction form
    8,597/11,863.86 = 4,871/x
  3. Step 3: Cross multiply
    8,597x = 11,863.86 × 4,871
  4. Step 4: Simplify right side
    8,597x = 57,788,862.06
  5. Step 5: Solve for x
    x = 57,788,862.06/8,597
  6. Step 6: Final answer
    x = 6,721.98

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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.