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Finding the Fourth Proportional to 8,656.50, 12,971.54 and 5,139.59

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Solution

The fourth proportional to 8,656.50, 12,971.54 and 5,139.59 is: 7,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.50 : 12,971.54 = 5,139.59 : x
  2. Step 2: Convert to fraction form
    8,656.50/12,971.54 = 5,139.59/x
  3. Step 3: Cross multiply
    8,656.50x = 12,971.54 × 5,139.59
  4. Step 4: Simplify right side
    8,656.50x = 66,668,345.26
  5. Step 5: Solve for x
    x = 66,668,345.26/8,656.50
  6. Step 6: Final answer
    x = 7,701.53

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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.