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Finding the Fourth Proportional to 10,577.42, 15,866.32 and 4,006.70

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Solution

The fourth proportional to 10,577.42, 15,866.32 and 4,006.70 is: 6,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.42 : 15,866.32 = 4,006.70 : x
  2. Step 2: Convert to fraction form
    10,577.42/15,866.32 = 4,006.70/x
  3. Step 3: Cross multiply
    10,577.42x = 15,866.32 × 4,006.70
  4. Step 4: Simplify right side
    10,577.42x = 63,571,584.34
  5. Step 5: Solve for x
    x = 63,571,584.34/10,577.42
  6. Step 6: Final answer
    x = 6,010.12

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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.