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Finding the Fourth Proportional to 10,973.95, 15,142.14 and 6,257.32

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Solution

The fourth proportional to 10,973.95, 15,142.14 and 6,257.32 is: 8,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.95 : 15,142.14 = 6,257.32 : x
  2. Step 2: Convert to fraction form
    10,973.95/15,142.14 = 6,257.32/x
  3. Step 3: Cross multiply
    10,973.95x = 15,142.14 × 6,257.32
  4. Step 4: Simplify right side
    10,973.95x = 94,749,177.61
  5. Step 5: Solve for x
    x = 94,749,177.61/10,973.95
  6. Step 6: Final answer
    x = 8,634.01

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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.