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Finding the Fourth Proportional to 7,465.61, 11,176.80 and 5,624.48

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Solution

The fourth proportional to 7,465.61, 11,176.80 and 5,624.48 is: 8,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.61 : 11,176.80 = 5,624.48 : x
  2. Step 2: Convert to fraction form
    7,465.61/11,176.80 = 5,624.48/x
  3. Step 3: Cross multiply
    7,465.61x = 11,176.80 × 5,624.48
  4. Step 4: Simplify right side
    7,465.61x = 62,863,688.06
  5. Step 5: Solve for x
    x = 62,863,688.06/7,465.61
  6. Step 6: Final answer
    x = 8,420.44

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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.