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Finding the Fourth Proportional to 10,354.26, 15,528.64 and 4,509.50

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Solution

The fourth proportional to 10,354.26, 15,528.64 and 4,509.50 is: 6,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.26 : 15,528.64 = 4,509.50 : x
  2. Step 2: Convert to fraction form
    10,354.26/15,528.64 = 4,509.50/x
  3. Step 3: Cross multiply
    10,354.26x = 15,528.64 × 4,509.50
  4. Step 4: Simplify right side
    10,354.26x = 70,026,402.08
  5. Step 5: Solve for x
    x = 70,026,402.08/10,354.26
  6. Step 6: Final answer
    x = 6,763.05

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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.