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Finding the Fourth Proportional to 7,841.36, 10,820.76 and 4,699.28

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Solution

The fourth proportional to 7,841.36, 10,820.76 and 4,699.28 is: 6,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.36 : 10,820.76 = 4,699.28 : x
  2. Step 2: Convert to fraction form
    7,841.36/10,820.76 = 4,699.28/x
  3. Step 3: Cross multiply
    7,841.36x = 10,820.76 × 4,699.28
  4. Step 4: Simplify right side
    7,841.36x = 50,849,781.05
  5. Step 5: Solve for x
    x = 50,849,781.05/7,841.36
  6. Step 6: Final answer
    x = 6,484.82

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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.