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Finding the Fourth Proportional to 7,383.40, 11,058.90 and 6,411.40

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Solution

The fourth proportional to 7,383.40, 11,058.90 and 6,411.40 is: 9,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.40 : 11,058.90 = 6,411.40 : x
  2. Step 2: Convert to fraction form
    7,383.40/11,058.90 = 6,411.40/x
  3. Step 3: Cross multiply
    7,383.40x = 11,058.90 × 6,411.40
  4. Step 4: Simplify right side
    7,383.40x = 70,903,031.46
  5. Step 5: Solve for x
    x = 70,903,031.46/7,383.40
  6. Step 6: Final answer
    x = 9,603.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.