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Finding the Fourth Proportional to 10,923.64, 15,074.58 and 6,209.44

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Solution

The fourth proportional to 10,923.64, 15,074.58 and 6,209.44 is: 8,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.64 : 15,074.58 = 6,209.44 : x
  2. Step 2: Convert to fraction form
    10,923.64/15,074.58 = 6,209.44/x
  3. Step 3: Cross multiply
    10,923.64x = 15,074.58 × 6,209.44
  4. Step 4: Simplify right side
    10,923.64x = 93,604,700.04
  5. Step 5: Solve for x
    x = 93,604,700.04/10,923.64
  6. Step 6: Final answer
    x = 8,569.00

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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.