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Finding the Fourth Proportional to 10,820.52, 14,936.04 and 6,345.72

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Solution

The fourth proportional to 10,820.52, 14,936.04 and 6,345.72 is: 8,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.52 : 14,936.04 = 6,345.72 : x
  2. Step 2: Convert to fraction form
    10,820.52/14,936.04 = 6,345.72/x
  3. Step 3: Cross multiply
    10,820.52x = 14,936.04 × 6,345.72
  4. Step 4: Simplify right side
    10,820.52x = 94,779,927.75
  5. Step 5: Solve for x
    x = 94,779,927.75/10,820.52
  6. Step 6: Final answer
    x = 8,759.28

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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.