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Finding the Fourth Proportional to 7,780.72, 11,661.32 and 6,130.76

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Solution

The fourth proportional to 7,780.72, 11,661.32 and 6,130.76 is: 9,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.72 : 11,661.32 = 6,130.76 : x
  2. Step 2: Convert to fraction form
    7,780.72/11,661.32 = 6,130.76/x
  3. Step 3: Cross multiply
    7,780.72x = 11,661.32 × 6,130.76
  4. Step 4: Simplify right side
    7,780.72x = 71,492,754.20
  5. Step 5: Solve for x
    x = 71,492,754.20/7,780.72
  6. Step 6: Final answer
    x = 9,188.45

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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.