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Finding the Fourth Proportional to 8,980.16, 12,386.40 and 5,835.20

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Solution

The fourth proportional to 8,980.16, 12,386.40 and 5,835.20 is: 8,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.16 : 12,386.40 = 5,835.20 : x
  2. Step 2: Convert to fraction form
    8,980.16/12,386.40 = 5,835.20/x
  3. Step 3: Cross multiply
    8,980.16x = 12,386.40 × 5,835.20
  4. Step 4: Simplify right side
    8,980.16x = 72,277,121.28
  5. Step 5: Solve for x
    x = 72,277,121.28/8,980.16
  6. Step 6: Final answer
    x = 8,048.53

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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.