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Finding the Fourth Proportional to 10,686.22, 14,745.93 and 6,210.16

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Solution

The fourth proportional to 10,686.22, 14,745.93 and 6,210.16 is: 8,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.22 : 14,745.93 = 6,210.16 : x
  2. Step 2: Convert to fraction form
    10,686.22/14,745.93 = 6,210.16/x
  3. Step 3: Cross multiply
    10,686.22x = 14,745.93 × 6,210.16
  4. Step 4: Simplify right side
    10,686.22x = 91,574,584.65
  5. Step 5: Solve for x
    x = 91,574,584.65/10,686.22
  6. Step 6: Final answer
    x = 8,569.41

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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.