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Finding the Fourth Proportional to 7,116.48, 9,820.08 and 4,463.28

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Solution

The fourth proportional to 7,116.48, 9,820.08 and 4,463.28 is: 6,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.48 : 9,820.08 = 4,463.28 : x
  2. Step 2: Convert to fraction form
    7,116.48/9,820.08 = 4,463.28/x
  3. Step 3: Cross multiply
    7,116.48x = 9,820.08 × 4,463.28
  4. Step 4: Simplify right side
    7,116.48x = 43,829,766.66
  5. Step 5: Solve for x
    x = 43,829,766.66/7,116.48
  6. Step 6: Final answer
    x = 6,158.91

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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.