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Finding the Fourth Proportional to 10,340.26, 15,507.65 and 4,495.50

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Solution

The fourth proportional to 10,340.26, 15,507.65 and 4,495.50 is: 6,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.26 : 15,507.65 = 4,495.50 : x
  2. Step 2: Convert to fraction form
    10,340.26/15,507.65 = 4,495.50/x
  3. Step 3: Cross multiply
    10,340.26x = 15,507.65 × 4,495.50
  4. Step 4: Simplify right side
    10,340.26x = 69,714,651.81
  5. Step 5: Solve for x
    x = 69,714,651.81/10,340.26
  6. Step 6: Final answer
    x = 6,742.06

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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.