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Finding the Fourth Proportional to 10,398.39, 15,605.77 and 4,848.88

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Solution

The fourth proportional to 10,398.39, 15,605.77 and 4,848.88 is: 7,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.39 : 15,605.77 = 4,848.88 : x
  2. Step 2: Convert to fraction form
    10,398.39/15,605.77 = 4,848.88/x
  3. Step 3: Cross multiply
    10,398.39x = 15,605.77 × 4,848.88
  4. Step 4: Simplify right side
    10,398.39x = 75,670,506.04
  5. Step 5: Solve for x
    x = 75,670,506.04/10,398.39
  6. Step 6: Final answer
    x = 7,277.14

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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.