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Finding the Fourth Proportional to 7,005.60, 10,508.31 and 2,075.31

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Solution

The fourth proportional to 7,005.60, 10,508.31 and 2,075.31 is: 3,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.60 : 10,508.31 = 2,075.31 : x
  2. Step 2: Convert to fraction form
    7,005.60/10,508.31 = 2,075.31/x
  3. Step 3: Cross multiply
    7,005.60x = 10,508.31 × 2,075.31
  4. Step 4: Simplify right side
    7,005.60x = 21,808,000.83
  5. Step 5: Solve for x
    x = 21,808,000.83/7,005.60
  6. Step 6: Final answer
    x = 3,112.94

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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.