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Finding the Fourth Proportional to 10,380.65, 15,570.56 and 2,985.08

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Solution

The fourth proportional to 10,380.65, 15,570.56 and 2,985.08 is: 4,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.65 : 15,570.56 = 2,985.08 : x
  2. Step 2: Convert to fraction form
    10,380.65/15,570.56 = 2,985.08/x
  3. Step 3: Cross multiply
    10,380.65x = 15,570.56 × 2,985.08
  4. Step 4: Simplify right side
    10,380.65x = 46,479,296.85
  5. Step 5: Solve for x
    x = 46,479,296.85/10,380.65
  6. Step 6: Final answer
    x = 4,477.50

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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.