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Finding the Fourth Proportional to 7,002.64, 10,502.88 and 3,106.36

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Solution

The fourth proportional to 7,002.64, 10,502.88 and 3,106.36 is: 4,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.64 : 10,502.88 = 3,106.36 : x
  2. Step 2: Convert to fraction form
    7,002.64/10,502.88 = 3,106.36/x
  3. Step 3: Cross multiply
    7,002.64x = 10,502.88 × 3,106.36
  4. Step 4: Simplify right side
    7,002.64x = 32,625,726.32
  5. Step 5: Solve for x
    x = 32,625,726.32/7,002.64
  6. Step 6: Final answer
    x = 4,659.06

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