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Finding the Fourth Proportional to 8,370.29, 11,549.75 and 5,390.13

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Solution

The fourth proportional to 8,370.29, 11,549.75 and 5,390.13 is: 7,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.29 : 11,549.75 = 5,390.13 : x
  2. Step 2: Convert to fraction form
    8,370.29/11,549.75 = 5,390.13/x
  3. Step 3: Cross multiply
    8,370.29x = 11,549.75 × 5,390.13
  4. Step 4: Simplify right side
    8,370.29x = 62,254,627.02
  5. Step 5: Solve for x
    x = 62,254,627.02/8,370.29
  6. Step 6: Final answer
    x = 7,437.58

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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.