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Finding the Fourth Proportional to 8,071.90, 12,117.45 and 4,564.70

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Solution

The fourth proportional to 8,071.90, 12,117.45 and 4,564.70 is: 6,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.90 : 12,117.45 = 4,564.70 : x
  2. Step 2: Convert to fraction form
    8,071.90/12,117.45 = 4,564.70/x
  3. Step 3: Cross multiply
    8,071.90x = 12,117.45 × 4,564.70
  4. Step 4: Simplify right side
    8,071.90x = 55,312,524.02
  5. Step 5: Solve for x
    x = 55,312,524.02/8,071.90
  6. Step 6: Final answer
    x = 6,852.48

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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.