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Finding the Fourth Proportional to 10,215.64, 14,098.96 and 7,392.36

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Solution

The fourth proportional to 10,215.64, 14,098.96 and 7,392.36 is: 10,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.64 : 14,098.96 = 7,392.36 : x
  2. Step 2: Convert to fraction form
    10,215.64/14,098.96 = 7,392.36/x
  3. Step 3: Cross multiply
    10,215.64x = 14,098.96 × 7,392.36
  4. Step 4: Simplify right side
    10,215.64x = 104,224,587.95
  5. Step 5: Solve for x
    x = 104,224,587.95/10,215.64
  6. Step 6: Final answer
    x = 10,202.45

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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.