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Finding the Fourth Proportional to 7,783.32, 11,674.08 and 5,300.64

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Solution

The fourth proportional to 7,783.32, 11,674.08 and 5,300.64 is: 7,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.32 : 11,674.08 = 5,300.64 : x
  2. Step 2: Convert to fraction form
    7,783.32/11,674.08 = 5,300.64/x
  3. Step 3: Cross multiply
    7,783.32x = 11,674.08 × 5,300.64
  4. Step 4: Simplify right side
    7,783.32x = 61,880,095.41
  5. Step 5: Solve for x
    x = 61,880,095.41/7,783.32
  6. Step 6: Final answer
    x = 7,950.35

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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.