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Finding the Fourth Proportional to 10,575.60, 15,857.64 and 5,385.84

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Solution

The fourth proportional to 10,575.60, 15,857.64 and 5,385.84 is: 8,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.60 : 15,857.64 = 5,385.84 : x
  2. Step 2: Convert to fraction form
    10,575.60/15,857.64 = 5,385.84/x
  3. Step 3: Cross multiply
    10,575.60x = 15,857.64 × 5,385.84
  4. Step 4: Simplify right side
    10,575.60x = 85,406,711.82
  5. Step 5: Solve for x
    x = 85,406,711.82/10,575.60
  6. Step 6: Final answer
    x = 8,075.83

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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.