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Finding the Fourth Proportional to 7,585.53, 10,467.54 and 4,398.32

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Solution

The fourth proportional to 7,585.53, 10,467.54 and 4,398.32 is: 6,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.53 : 10,467.54 = 4,398.32 : x
  2. Step 2: Convert to fraction form
    7,585.53/10,467.54 = 4,398.32/x
  3. Step 3: Cross multiply
    7,585.53x = 10,467.54 × 4,398.32
  4. Step 4: Simplify right side
    7,585.53x = 46,039,538.20
  5. Step 5: Solve for x
    x = 46,039,538.20/7,585.53
  6. Step 6: Final answer
    x = 6,069.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.