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Finding the Fourth Proportional to 8,430.91, 11,640.14 and 7,545.19

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Solution

The fourth proportional to 8,430.91, 11,640.14 and 7,545.19 is: 10,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.91 : 11,640.14 = 7,545.19 : x
  2. Step 2: Convert to fraction form
    8,430.91/11,640.14 = 7,545.19/x
  3. Step 3: Cross multiply
    8,430.91x = 11,640.14 × 7,545.19
  4. Step 4: Simplify right side
    8,430.91x = 87,827,067.93
  5. Step 5: Solve for x
    x = 87,827,067.93/8,430.91
  6. Step 6: Final answer
    x = 10,417.27

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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.