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Finding the Fourth Proportional to 7,841.03, 10,814.28 and 6,894.85

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Solution

The fourth proportional to 7,841.03, 10,814.28 and 6,894.85 is: 9,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.03 : 10,814.28 = 6,894.85 : x
  2. Step 2: Convert to fraction form
    7,841.03/10,814.28 = 6,894.85/x
  3. Step 3: Cross multiply
    7,841.03x = 10,814.28 × 6,894.85
  4. Step 4: Simplify right side
    7,841.03x = 74,562,838.46
  5. Step 5: Solve for x
    x = 74,562,838.46/7,841.03
  6. Step 6: Final answer
    x = 9,509.32

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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.