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Finding the Fourth Proportional to 6,312.16, 8,710.78 and 3,661.10

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Solution

The fourth proportional to 6,312.16, 8,710.78 and 3,661.10 is: 5,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.16 : 8,710.78 = 3,661.10 : x
  2. Step 2: Convert to fraction form
    6,312.16/8,710.78 = 3,661.10/x
  3. Step 3: Cross multiply
    6,312.16x = 8,710.78 × 3,661.10
  4. Step 4: Simplify right side
    6,312.16x = 31,891,036.66
  5. Step 5: Solve for x
    x = 31,891,036.66/6,312.16
  6. Step 6: Final answer
    x = 5,052.32

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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.