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Finding the Fourth Proportional to 7,345.48, 10,133.82 and 4,201

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Solution

The fourth proportional to 7,345.48, 10,133.82 and 4,201 is: 5,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.48 : 10,133.82 = 4,201 : x
  2. Step 2: Convert to fraction form
    7,345.48/10,133.82 = 4,201/x
  3. Step 3: Cross multiply
    7,345.48x = 10,133.82 × 4,201
  4. Step 4: Simplify right side
    7,345.48x = 42,572,177.82
  5. Step 5: Solve for x
    x = 42,572,177.82/7,345.48
  6. Step 6: Final answer
    x = 5,795.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.