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Finding the Fourth Proportional to 13,377.75, 18,461.10 and 7,712.51

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Solution

The fourth proportional to 13,377.75, 18,461.10 and 7,712.51 is: 10,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.75 : 18,461.10 = 7,712.51 : x
  2. Step 2: Convert to fraction form
    13,377.75/18,461.10 = 7,712.51/x
  3. Step 3: Cross multiply
    13,377.75x = 18,461.10 × 7,712.51
  4. Step 4: Simplify right side
    13,377.75x = 142,381,326.06
  5. Step 5: Solve for x
    x = 142,381,326.06/13,377.75
  6. Step 6: Final answer
    x = 10,643.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.