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Finding the Fourth Proportional to 8,402.47, 11,595.17 and 4,573.98

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Solution

The fourth proportional to 8,402.47, 11,595.17 and 4,573.98 is: 6,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.47 : 11,595.17 = 4,573.98 : x
  2. Step 2: Convert to fraction form
    8,402.47/11,595.17 = 4,573.98/x
  3. Step 3: Cross multiply
    8,402.47x = 11,595.17 × 4,573.98
  4. Step 4: Simplify right side
    8,402.47x = 53,036,075.68
  5. Step 5: Solve for x
    x = 53,036,075.68/8,402.47
  6. Step 6: Final answer
    x = 6,311.96

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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.