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Finding the Fourth Proportional to 8,545.60, 12,733.44 and 7,614

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Solution

The fourth proportional to 8,545.60, 12,733.44 and 7,614 is: 11,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,545.60 : 12,733.44 = 7,614 : x
  2. Step 2: Convert to fraction form
    8,545.60/12,733.44 = 7,614/x
  3. Step 3: Cross multiply
    8,545.60x = 12,733.44 × 7,614
  4. Step 4: Simplify right side
    8,545.60x = 96,952,412.16
  5. Step 5: Solve for x
    x = 96,952,412.16/8,545.60
  6. Step 6: Final answer
    x = 11,345.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.