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Finding the Fourth Proportional to 10,058.85, 13,894.74 and 7,730.10

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Solution

The fourth proportional to 10,058.85, 13,894.74 and 7,730.10 is: 10,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.85 : 13,894.74 = 7,730.10 : x
  2. Step 2: Convert to fraction form
    10,058.85/13,894.74 = 7,730.10/x
  3. Step 3: Cross multiply
    10,058.85x = 13,894.74 × 7,730.10
  4. Step 4: Simplify right side
    10,058.85x = 107,407,729.67
  5. Step 5: Solve for x
    x = 107,407,729.67/10,058.85
  6. Step 6: Final answer
    x = 10,677.93

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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.