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Finding the Fourth Proportional to 10,025.68, 15,038.45 and 7,836.25

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Solution

The fourth proportional to 10,025.68, 15,038.45 and 7,836.25 is: 11,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.68 : 15,038.45 = 7,836.25 : x
  2. Step 2: Convert to fraction form
    10,025.68/15,038.45 = 7,836.25/x
  3. Step 3: Cross multiply
    10,025.68x = 15,038.45 × 7,836.25
  4. Step 4: Simplify right side
    10,025.68x = 117,845,053.81
  5. Step 5: Solve for x
    x = 117,845,053.81/10,025.68
  6. Step 6: Final answer
    x = 11,754.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.