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Finding the Fourth Proportional to 7,570.13, 10,446.77 and 4,258.13

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Solution

The fourth proportional to 7,570.13, 10,446.77 and 4,258.13 is: 5,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.13 : 10,446.77 = 4,258.13 : x
  2. Step 2: Convert to fraction form
    7,570.13/10,446.77 = 4,258.13/x
  3. Step 3: Cross multiply
    7,570.13x = 10,446.77 × 4,258.13
  4. Step 4: Simplify right side
    7,570.13x = 44,483,663.15
  5. Step 5: Solve for x
    x = 44,483,663.15/7,570.13
  6. Step 6: Final answer
    x = 5,876.21

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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.