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Finding the Fourth Proportional to 7,006.34, 10,492.22 and 4,075.76

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Solution

The fourth proportional to 7,006.34, 10,492.22 and 4,075.76 is: 6,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.34 : 10,492.22 = 4,075.76 : x
  2. Step 2: Convert to fraction form
    7,006.34/10,492.22 = 4,075.76/x
  3. Step 3: Cross multiply
    7,006.34x = 10,492.22 × 4,075.76
  4. Step 4: Simplify right side
    7,006.34x = 42,763,770.59
  5. Step 5: Solve for x
    x = 42,763,770.59/7,006.34
  6. Step 6: Final answer
    x = 6,103.58

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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.