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Finding the Fourth Proportional to 10,216.16, 14,065.71 and 8,718.07

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Solution

The fourth proportional to 10,216.16, 14,065.71 and 8,718.07 is: 12,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.16 : 14,065.71 = 8,718.07 : x
  2. Step 2: Convert to fraction form
    10,216.16/14,065.71 = 8,718.07/x
  3. Step 3: Cross multiply
    10,216.16x = 14,065.71 × 8,718.07
  4. Step 4: Simplify right side
    10,216.16x = 122,625,774.05
  5. Step 5: Solve for x
    x = 122,625,774.05/10,216.16
  6. Step 6: Final answer
    x = 12,003.12

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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.