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Finding the Fourth Proportional to 10,038.22, 15,071.12 and 5,111.17

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Solution

The fourth proportional to 10,038.22, 15,071.12 and 5,111.17 is: 7,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.22 : 15,071.12 = 5,111.17 : x
  2. Step 2: Convert to fraction form
    10,038.22/15,071.12 = 5,111.17/x
  3. Step 3: Cross multiply
    10,038.22x = 15,071.12 × 5,111.17
  4. Step 4: Simplify right side
    10,038.22x = 77,031,056.41
  5. Step 5: Solve for x
    x = 77,031,056.41/10,038.22
  6. Step 6: Final answer
    x = 7,673.78

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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.