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Finding the Fourth Proportional to 7,298.36, 10,112.42 and 7,140.71

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Solution

The fourth proportional to 7,298.36, 10,112.42 and 7,140.71 is: 9,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.36 : 10,112.42 = 7,140.71 : x
  2. Step 2: Convert to fraction form
    7,298.36/10,112.42 = 7,140.71/x
  3. Step 3: Cross multiply
    7,298.36x = 10,112.42 × 7,140.71
  4. Step 4: Simplify right side
    7,298.36x = 72,209,822.91
  5. Step 5: Solve for x
    x = 72,209,822.91/7,298.36
  6. Step 6: Final answer
    x = 9,893.99

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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.