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Finding the Fourth Proportional to 10,298.58, 15,425.91 and 5,025.48

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Solution

The fourth proportional to 10,298.58, 15,425.91 and 5,025.48 is: 7,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.58 : 15,425.91 = 5,025.48 : x
  2. Step 2: Convert to fraction form
    10,298.58/15,425.91 = 5,025.48/x
  3. Step 3: Cross multiply
    10,298.58x = 15,425.91 × 5,025.48
  4. Step 4: Simplify right side
    10,298.58x = 77,522,602.19
  5. Step 5: Solve for x
    x = 77,522,602.19/10,298.58
  6. Step 6: Final answer
    x = 7,527.50

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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.