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Finding the Fourth Proportional to 12,368.52, 17,071.56 and 7,650

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Solution

The fourth proportional to 12,368.52, 17,071.56 and 7,650 is: 10,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.52 : 17,071.56 = 7,650 : x
  2. Step 2: Convert to fraction form
    12,368.52/17,071.56 = 7,650/x
  3. Step 3: Cross multiply
    12,368.52x = 17,071.56 × 7,650
  4. Step 4: Simplify right side
    12,368.52x = 130,597,434.00
  5. Step 5: Solve for x
    x = 130,597,434.00/12,368.52
  6. Step 6: Final answer
    x = 10,558.86

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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.