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Finding the Fourth Proportional to 7,580.68, 11,352 and 4,798.96

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Solution

The fourth proportional to 7,580.68, 11,352 and 4,798.96 is: 7,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.68 : 11,352 = 4,798.96 : x
  2. Step 2: Convert to fraction form
    7,580.68/11,352 = 4,798.96/x
  3. Step 3: Cross multiply
    7,580.68x = 11,352 × 4,798.96
  4. Step 4: Simplify right side
    7,580.68x = 54,477,793.92
  5. Step 5: Solve for x
    x = 54,477,793.92/7,580.68
  6. Step 6: Final answer
    x = 7,186.40

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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.