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Finding the Fourth Proportional to 10,594.08, 15,860.88 and 8,406

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Solution

The fourth proportional to 10,594.08, 15,860.88 and 8,406 is: 12,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.08 : 15,860.88 = 8,406 : x
  2. Step 2: Convert to fraction form
    10,594.08/15,860.88 = 8,406/x
  3. Step 3: Cross multiply
    10,594.08x = 15,860.88 × 8,406
  4. Step 4: Simplify right side
    10,594.08x = 133,326,557.28
  5. Step 5: Solve for x
    x = 133,326,557.28/10,594.08
  6. Step 6: Final answer
    x = 12,585.01

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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.