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Finding the Fourth Proportional to 7,338.60, 11,007.90 and 5,783.40

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Solution

The fourth proportional to 7,338.60, 11,007.90 and 5,783.40 is: 8,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.60 : 11,007.90 = 5,783.40 : x
  2. Step 2: Convert to fraction form
    7,338.60/11,007.90 = 5,783.40/x
  3. Step 3: Cross multiply
    7,338.60x = 11,007.90 × 5,783.40
  4. Step 4: Simplify right side
    7,338.60x = 63,663,088.86
  5. Step 5: Solve for x
    x = 63,663,088.86/7,338.60
  6. Step 6: Final answer
    x = 8,675.10

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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.