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Finding the Fourth Proportional to 10,507.95, 15,762.84 and 3,486.48

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Solution

The fourth proportional to 10,507.95, 15,762.84 and 3,486.48 is: 5,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.95 : 15,762.84 = 3,486.48 : x
  2. Step 2: Convert to fraction form
    10,507.95/15,762.84 = 3,486.48/x
  3. Step 3: Cross multiply
    10,507.95x = 15,762.84 × 3,486.48
  4. Step 4: Simplify right side
    10,507.95x = 54,956,826.40
  5. Step 5: Solve for x
    x = 54,956,826.40/10,507.95
  6. Step 6: Final answer
    x = 5,230.02

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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.