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Finding the Fourth Proportional to 7,030.54, 9,701.85 and 4,046.48

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Solution

The fourth proportional to 7,030.54, 9,701.85 and 4,046.48 is: 5,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.54 : 9,701.85 = 4,046.48 : x
  2. Step 2: Convert to fraction form
    7,030.54/9,701.85 = 4,046.48/x
  3. Step 3: Cross multiply
    7,030.54x = 9,701.85 × 4,046.48
  4. Step 4: Simplify right side
    7,030.54x = 39,258,273.25
  5. Step 5: Solve for x
    x = 39,258,273.25/7,030.54
  6. Step 6: Final answer
    x = 5,583.96

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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.