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Finding the Fourth Proportional to 7,071.45, 10,607.10 and 4,298.89

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Solution

The fourth proportional to 7,071.45, 10,607.10 and 4,298.89 is: 6,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.45 : 10,607.10 = 4,298.89 : x
  2. Step 2: Convert to fraction form
    7,071.45/10,607.10 = 4,298.89/x
  3. Step 3: Cross multiply
    7,071.45x = 10,607.10 × 4,298.89
  4. Step 4: Simplify right side
    7,071.45x = 45,598,756.12
  5. Step 5: Solve for x
    x = 45,598,756.12/7,071.45
  6. Step 6: Final answer
    x = 6,448.29

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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.