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Finding the Fourth Proportional to 8,385.68, 12,573.02 and 4,688.30

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Solution

The fourth proportional to 8,385.68, 12,573.02 and 4,688.30 is: 7,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.68 : 12,573.02 = 4,688.30 : x
  2. Step 2: Convert to fraction form
    8,385.68/12,573.02 = 4,688.30/x
  3. Step 3: Cross multiply
    8,385.68x = 12,573.02 × 4,688.30
  4. Step 4: Simplify right side
    8,385.68x = 58,946,132.82
  5. Step 5: Solve for x
    x = 58,946,132.82/8,385.68
  6. Step 6: Final answer
    x = 7,029.38

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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.