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Finding the Fourth Proportional to 10,477.18, 15,726.10 and 7,696.05

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Solution

The fourth proportional to 10,477.18, 15,726.10 and 7,696.05 is: 11,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.18 : 15,726.10 = 7,696.05 : x
  2. Step 2: Convert to fraction form
    10,477.18/15,726.10 = 7,696.05/x
  3. Step 3: Cross multiply
    10,477.18x = 15,726.10 × 7,696.05
  4. Step 4: Simplify right side
    10,477.18x = 121,028,773.27
  5. Step 5: Solve for x
    x = 121,028,773.27/10,477.18
  6. Step 6: Final answer
    x = 11,551.66

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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.