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Finding the Fourth Proportional to 8,483.76, 12,711.96 and 4,590

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Solution

The fourth proportional to 8,483.76, 12,711.96 and 4,590 is: 6,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.76 : 12,711.96 = 4,590 : x
  2. Step 2: Convert to fraction form
    8,483.76/12,711.96 = 4,590/x
  3. Step 3: Cross multiply
    8,483.76x = 12,711.96 × 4,590
  4. Step 4: Simplify right side
    8,483.76x = 58,347,896.40
  5. Step 5: Solve for x
    x = 58,347,896.40/8,483.76
  6. Step 6: Final answer
    x = 6,877.60

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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.