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Finding the Fourth Proportional to 7,071.51, 10,607.20 and 4,298.95

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Solution

The fourth proportional to 7,071.51, 10,607.20 and 4,298.95 is: 6,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.51 : 10,607.20 = 4,298.95 : x
  2. Step 2: Convert to fraction form
    7,071.51/10,607.20 = 4,298.95/x
  3. Step 3: Cross multiply
    7,071.51x = 10,607.20 × 4,298.95
  4. Step 4: Simplify right side
    7,071.51x = 45,599,747.91
  5. Step 5: Solve for x
    x = 45,599,747.91/7,071.51
  6. Step 6: Final answer
    x = 6,448.37

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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.