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Finding the Fourth Proportional to 10,572.32, 15,858.48 and 4,412

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Solution

The fourth proportional to 10,572.32, 15,858.48 and 4,412 is: 6,618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.32 : 15,858.48 = 4,412 : x
  2. Step 2: Convert to fraction form
    10,572.32/15,858.48 = 4,412/x
  3. Step 3: Cross multiply
    10,572.32x = 15,858.48 × 4,412
  4. Step 4: Simplify right side
    10,572.32x = 69,967,613.76
  5. Step 5: Solve for x
    x = 69,967,613.76/10,572.32
  6. Step 6: Final answer
    x = 6,618.00

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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.