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Finding the Fourth Proportional to 7,054.96, 10,582.02 and 3,158.32

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Solution

The fourth proportional to 7,054.96, 10,582.02 and 3,158.32 is: 4,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.96 : 10,582.02 = 3,158.32 : x
  2. Step 2: Convert to fraction form
    7,054.96/10,582.02 = 3,158.32/x
  3. Step 3: Cross multiply
    7,054.96x = 10,582.02 × 3,158.32
  4. Step 4: Simplify right side
    7,054.96x = 33,421,405.41
  5. Step 5: Solve for x
    x = 33,421,405.41/7,054.96
  6. Step 6: Final answer
    x = 4,737.29

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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.