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Finding the Fourth Proportional to 6,061.76, 8,374.88 and 4,812.16

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Solution

The fourth proportional to 6,061.76, 8,374.88 and 4,812.16 is: 6,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.76 : 8,374.88 = 4,812.16 : x
  2. Step 2: Convert to fraction form
    6,061.76/8,374.88 = 4,812.16/x
  3. Step 3: Cross multiply
    6,061.76x = 8,374.88 × 4,812.16
  4. Step 4: Simplify right side
    6,061.76x = 40,301,262.54
  5. Step 5: Solve for x
    x = 40,301,262.54/6,061.76
  6. Step 6: Final answer
    x = 6,648.44

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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.