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Finding the Fourth Proportional to 10,002.16, 13,797.54 and 6,972.50

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Solution

The fourth proportional to 10,002.16, 13,797.54 and 6,972.50 is: 9,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.16 : 13,797.54 = 6,972.50 : x
  2. Step 2: Convert to fraction form
    10,002.16/13,797.54 = 6,972.50/x
  3. Step 3: Cross multiply
    10,002.16x = 13,797.54 × 6,972.50
  4. Step 4: Simplify right side
    10,002.16x = 96,203,347.65
  5. Step 5: Solve for x
    x = 96,203,347.65/10,002.16
  6. Step 6: Final answer
    x = 9,618.26

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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.