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Finding the Fourth Proportional to 10,271.88, 15,405.18 and 4,032.12

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Solution

The fourth proportional to 10,271.88, 15,405.18 and 4,032.12 is: 6,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.88 : 15,405.18 = 4,032.12 : x
  2. Step 2: Convert to fraction form
    10,271.88/15,405.18 = 4,032.12/x
  3. Step 3: Cross multiply
    10,271.88x = 15,405.18 × 4,032.12
  4. Step 4: Simplify right side
    10,271.88x = 62,115,534.38
  5. Step 5: Solve for x
    x = 62,115,534.38/10,271.88
  6. Step 6: Final answer
    x = 6,047.14

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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.