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Finding the Fourth Proportional to 10,588.52, 14,612.82 and 6,113.09

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Solution

The fourth proportional to 10,588.52, 14,612.82 and 6,113.09 is: 8,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.52 : 14,612.82 = 6,113.09 : x
  2. Step 2: Convert to fraction form
    10,588.52/14,612.82 = 6,113.09/x
  3. Step 3: Cross multiply
    10,588.52x = 14,612.82 × 6,113.09
  4. Step 4: Simplify right side
    10,588.52x = 89,329,483.81
  5. Step 5: Solve for x
    x = 89,329,483.81/10,588.52
  6. Step 6: Final answer
    x = 8,436.45

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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.