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Finding the Fourth Proportional to 7,707.65, 11,561.00 and 4,746.66

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Solution

The fourth proportional to 7,707.65, 11,561.00 and 4,746.66 is: 7,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.65 : 11,561.00 = 4,746.66 : x
  2. Step 2: Convert to fraction form
    7,707.65/11,561.00 = 4,746.66/x
  3. Step 3: Cross multiply
    7,707.65x = 11,561.00 × 4,746.66
  4. Step 4: Simplify right side
    7,707.65x = 54,876,148.13
  5. Step 5: Solve for x
    x = 54,876,148.13/7,707.65
  6. Step 6: Final answer
    x = 7,119.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.