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Finding the Fourth Proportional to 10,582.76, 15,862.10 and 5,028.28

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Solution

The fourth proportional to 10,582.76, 15,862.10 and 5,028.28 is: 7,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.76 : 15,862.10 = 5,028.28 : x
  2. Step 2: Convert to fraction form
    10,582.76/15,862.10 = 5,028.28/x
  3. Step 3: Cross multiply
    10,582.76x = 15,862.10 × 5,028.28
  4. Step 4: Simplify right side
    10,582.76x = 79,759,080.19
  5. Step 5: Solve for x
    x = 79,759,080.19/10,582.76
  6. Step 6: Final answer
    x = 7,536.70

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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.