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Finding the Fourth Proportional to 10,525.80, 15,780.70 and 5,335.40

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Solution

The fourth proportional to 10,525.80, 15,780.70 and 5,335.40 is: 7,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.80 : 15,780.70 = 5,335.40 : x
  2. Step 2: Convert to fraction form
    10,525.80/15,780.70 = 5,335.40/x
  3. Step 3: Cross multiply
    10,525.80x = 15,780.70 × 5,335.40
  4. Step 4: Simplify right side
    10,525.80x = 84,196,346.78
  5. Step 5: Solve for x
    x = 84,196,346.78/10,525.80
  6. Step 6: Final answer
    x = 7,999.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.