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Finding the Fourth Proportional to 7,070.44, 10,595.63 and 5,206.94

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Solution

The fourth proportional to 7,070.44, 10,595.63 and 5,206.94 is: 7,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.44 : 10,595.63 = 5,206.94 : x
  2. Step 2: Convert to fraction form
    7,070.44/10,595.63 = 5,206.94/x
  3. Step 3: Cross multiply
    7,070.44x = 10,595.63 × 5,206.94
  4. Step 4: Simplify right side
    7,070.44x = 55,170,809.67
  5. Step 5: Solve for x
    x = 55,170,809.67/7,070.44
  6. Step 6: Final answer
    x = 7,803.02

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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.