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Finding the Fourth Proportional to 10,307.88, 15,461.64 and 7,142.40

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Solution

The fourth proportional to 10,307.88, 15,461.64 and 7,142.40 is: 10,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.88 : 15,461.64 = 7,142.40 : x
  2. Step 2: Convert to fraction form
    10,307.88/15,461.64 = 7,142.40/x
  3. Step 3: Cross multiply
    10,307.88x = 15,461.64 × 7,142.40
  4. Step 4: Simplify right side
    10,307.88x = 110,433,217.54
  5. Step 5: Solve for x
    x = 110,433,217.54/10,307.88
  6. Step 6: Final answer
    x = 10,713.48

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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.