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Finding the Fourth Proportional to 8,021.84, 11,071.32 and 6,130.16

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Solution

The fourth proportional to 8,021.84, 11,071.32 and 6,130.16 is: 8,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.84 : 11,071.32 = 6,130.16 : x
  2. Step 2: Convert to fraction form
    8,021.84/11,071.32 = 6,130.16/x
  3. Step 3: Cross multiply
    8,021.84x = 11,071.32 × 6,130.16
  4. Step 4: Simplify right side
    8,021.84x = 67,868,963.01
  5. Step 5: Solve for x
    x = 67,868,963.01/8,021.84
  6. Step 6: Final answer
    x = 8,460.52

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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.