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Finding the Fourth Proportional to 9,052.66, 13,582.86 and 5,106.88

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Solution

The fourth proportional to 9,052.66, 13,582.86 and 5,106.88 is: 7,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.66 : 13,582.86 = 5,106.88 : x
  2. Step 2: Convert to fraction form
    9,052.66/13,582.86 = 5,106.88/x
  3. Step 3: Cross multiply
    9,052.66x = 13,582.86 × 5,106.88
  4. Step 4: Simplify right side
    9,052.66x = 69,366,036.08
  5. Step 5: Solve for x
    x = 69,366,036.08/9,052.66
  6. Step 6: Final answer
    x = 7,662.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.