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Finding the Fourth Proportional to 7,789.59, 10,746.87 and 4,602.21

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Solution

The fourth proportional to 7,789.59, 10,746.87 and 4,602.21 is: 6,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.59 : 10,746.87 = 4,602.21 : x
  2. Step 2: Convert to fraction form
    7,789.59/10,746.87 = 4,602.21/x
  3. Step 3: Cross multiply
    7,789.59x = 10,746.87 × 4,602.21
  4. Step 4: Simplify right side
    7,789.59x = 49,459,352.58
  5. Step 5: Solve for x
    x = 49,459,352.58/7,789.59
  6. Step 6: Final answer
    x = 6,349.42

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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.