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Finding the Fourth Proportional to 8,415.64, 11,545.10 and 7,913.08

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Solution

The fourth proportional to 8,415.64, 11,545.10 and 7,913.08 is: 10,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.64 : 11,545.10 = 7,913.08 : x
  2. Step 2: Convert to fraction form
    8,415.64/11,545.10 = 7,913.08/x
  3. Step 3: Cross multiply
    8,415.64x = 11,545.10 × 7,913.08
  4. Step 4: Simplify right side
    8,415.64x = 91,357,299.91
  5. Step 5: Solve for x
    x = 91,357,299.91/8,415.64
  6. Step 6: Final answer
    x = 10,855.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.