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Finding the Fourth Proportional to 10,455.29, 15,686.02 and 5,528.39

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Solution

The fourth proportional to 10,455.29, 15,686.02 and 5,528.39 is: 8,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.29 : 15,686.02 = 5,528.39 : x
  2. Step 2: Convert to fraction form
    10,455.29/15,686.02 = 5,528.39/x
  3. Step 3: Cross multiply
    10,455.29x = 15,686.02 × 5,528.39
  4. Step 4: Simplify right side
    10,455.29x = 86,718,461.50
  5. Step 5: Solve for x
    x = 86,718,461.50/10,455.29
  6. Step 6: Final answer
    x = 8,294.22

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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.