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Finding the Fourth Proportional to 7,298.48, 10,111.58 and 7,142.96

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Solution

The fourth proportional to 7,298.48, 10,111.58 and 7,142.96 is: 9,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.48 : 10,111.58 = 7,142.96 : x
  2. Step 2: Convert to fraction form
    7,298.48/10,111.58 = 7,142.96/x
  3. Step 3: Cross multiply
    7,298.48x = 10,111.58 × 7,142.96
  4. Step 4: Simplify right side
    7,298.48x = 72,226,611.48
  5. Step 5: Solve for x
    x = 72,226,611.48/7,298.48
  6. Step 6: Final answer
    x = 9,896.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.