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Finding the Fourth Proportional to 7,059.83, 9,748.76 and 4,411.76

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Solution

The fourth proportional to 7,059.83, 9,748.76 and 4,411.76 is: 6,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.83 : 9,748.76 = 4,411.76 : x
  2. Step 2: Convert to fraction form
    7,059.83/9,748.76 = 4,411.76/x
  3. Step 3: Cross multiply
    7,059.83x = 9,748.76 × 4,411.76
  4. Step 4: Simplify right side
    7,059.83x = 43,009,118.62
  5. Step 5: Solve for x
    x = 43,009,118.62/7,059.83
  6. Step 6: Final answer
    x = 6,092.09

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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.