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Finding the Fourth Proportional to 7,070.65, 10,605.98 and 2,140.29

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Solution

The fourth proportional to 7,070.65, 10,605.98 and 2,140.29 is: 3,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.65 : 10,605.98 = 2,140.29 : x
  2. Step 2: Convert to fraction form
    7,070.65/10,605.98 = 2,140.29/x
  3. Step 3: Cross multiply
    7,070.65x = 10,605.98 × 2,140.29
  4. Step 4: Simplify right side
    7,070.65x = 22,699,878.28
  5. Step 5: Solve for x
    x = 22,699,878.28/7,070.65
  6. Step 6: Final answer
    x = 3,210.44

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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.