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Finding the Fourth Proportional to 7,780.13, 11,653.06 and 6,430.61

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Solution

The fourth proportional to 7,780.13, 11,653.06 and 6,430.61 is: 9,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.13 : 11,653.06 = 6,430.61 : x
  2. Step 2: Convert to fraction form
    7,780.13/11,653.06 = 6,430.61/x
  3. Step 3: Cross multiply
    7,780.13x = 11,653.06 × 6,430.61
  4. Step 4: Simplify right side
    7,780.13x = 74,936,225.65
  5. Step 5: Solve for x
    x = 74,936,225.65/7,780.13
  6. Step 6: Final answer
    x = 9,631.74

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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.