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Finding the Fourth Proportional to 10,884.50, 15,017.97 and 6,904.16

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Solution

The fourth proportional to 10,884.50, 15,017.97 and 6,904.16 is: 9,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.50 : 15,017.97 = 6,904.16 : x
  2. Step 2: Convert to fraction form
    10,884.50/15,017.97 = 6,904.16/x
  3. Step 3: Cross multiply
    10,884.50x = 15,017.97 × 6,904.16
  4. Step 4: Simplify right side
    10,884.50x = 103,686,392.67
  5. Step 5: Solve for x
    x = 103,686,392.67/10,884.50
  6. Step 6: Final answer
    x = 9,526.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.