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Finding the Fourth Proportional to 10,642.16, 14,686.84 and 6,167.32

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Solution

The fourth proportional to 10,642.16, 14,686.84 and 6,167.32 is: 8,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.16 : 14,686.84 = 6,167.32 : x
  2. Step 2: Convert to fraction form
    10,642.16/14,686.84 = 6,167.32/x
  3. Step 3: Cross multiply
    10,642.16x = 14,686.84 × 6,167.32
  4. Step 4: Simplify right side
    10,642.16x = 90,578,442.07
  5. Step 5: Solve for x
    x = 90,578,442.07/10,642.16
  6. Step 6: Final answer
    x = 8,511.28

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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.