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Finding the Fourth Proportional to 10,513.56, 14,508.54 and 5,798.28

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Solution

The fourth proportional to 10,513.56, 14,508.54 and 5,798.28 is: 8,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.56 : 14,508.54 = 5,798.28 : x
  2. Step 2: Convert to fraction form
    10,513.56/14,508.54 = 5,798.28/x
  3. Step 3: Cross multiply
    10,513.56x = 14,508.54 × 5,798.28
  4. Step 4: Simplify right side
    10,513.56x = 84,124,577.31
  5. Step 5: Solve for x
    x = 84,124,577.31/10,513.56
  6. Step 6: Final answer
    x = 8,001.53

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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.