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Finding the Fourth Proportional to 10,498.77, 14,476.28 and 7,841.69

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Solution

The fourth proportional to 10,498.77, 14,476.28 and 7,841.69 is: 10,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.77 : 14,476.28 = 7,841.69 : x
  2. Step 2: Convert to fraction form
    10,498.77/14,476.28 = 7,841.69/x
  3. Step 3: Cross multiply
    10,498.77x = 14,476.28 × 7,841.69
  4. Step 4: Simplify right side
    10,498.77x = 113,518,500.11
  5. Step 5: Solve for x
    x = 113,518,500.11/10,498.77
  6. Step 6: Final answer
    x = 10,812.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.