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Finding the Fourth Proportional to 7,585.42, 11,373.27 and 4,980.46

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Solution

The fourth proportional to 7,585.42, 11,373.27 and 4,980.46 is: 7,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.42 : 11,373.27 = 4,980.46 : x
  2. Step 2: Convert to fraction form
    7,585.42/11,373.27 = 4,980.46/x
  3. Step 3: Cross multiply
    7,585.42x = 11,373.27 × 4,980.46
  4. Step 4: Simplify right side
    7,585.42x = 56,644,116.30
  5. Step 5: Solve for x
    x = 56,644,116.30/7,585.42
  6. Step 6: Final answer
    x = 7,467.50

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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.