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Finding the Fourth Proportional to 7,705.65, 11,566.44 and 4,746.23

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Solution

The fourth proportional to 7,705.65, 11,566.44 and 4,746.23 is: 7,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.65 : 11,566.44 = 4,746.23 : x
  2. Step 2: Convert to fraction form
    7,705.65/11,566.44 = 4,746.23/x
  3. Step 3: Cross multiply
    7,705.65x = 11,566.44 × 4,746.23
  4. Step 4: Simplify right side
    7,705.65x = 54,896,926.69
  5. Step 5: Solve for x
    x = 54,896,926.69/7,705.65
  6. Step 6: Final answer
    x = 7,124.24

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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.