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Finding the Fourth Proportional to 10,585.02, 14,608 and 6,109.60

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Solution

The fourth proportional to 10,585.02, 14,608 and 6,109.60 is: 8,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.02 : 14,608 = 6,109.60 : x
  2. Step 2: Convert to fraction form
    10,585.02/14,608 = 6,109.60/x
  3. Step 3: Cross multiply
    10,585.02x = 14,608 × 6,109.60
  4. Step 4: Simplify right side
    10,585.02x = 89,249,036.80
  5. Step 5: Solve for x
    x = 89,249,036.80/10,585.02
  6. Step 6: Final answer
    x = 8,431.64

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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.