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Finding the Fourth Proportional to 10,339.80, 15,509.71 and 2,548.62

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Solution

The fourth proportional to 10,339.80, 15,509.71 and 2,548.62 is: 3,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.80 : 15,509.71 = 2,548.62 : x
  2. Step 2: Convert to fraction form
    10,339.80/15,509.71 = 2,548.62/x
  3. Step 3: Cross multiply
    10,339.80x = 15,509.71 × 2,548.62
  4. Step 4: Simplify right side
    10,339.80x = 39,528,357.10
  5. Step 5: Solve for x
    x = 39,528,357.10/10,339.80
  6. Step 6: Final answer
    x = 3,822.93

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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.