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Finding the Fourth Proportional to 11,502.70, 17,228.13 and 6,875.98

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Solution

The fourth proportional to 11,502.70, 17,228.13 and 6,875.98 is: 10,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.70 : 17,228.13 = 6,875.98 : x
  2. Step 2: Convert to fraction form
    11,502.70/17,228.13 = 6,875.98/x
  3. Step 3: Cross multiply
    11,502.70x = 17,228.13 × 6,875.98
  4. Step 4: Simplify right side
    11,502.70x = 118,460,277.32
  5. Step 5: Solve for x
    x = 118,460,277.32/11,502.70
  6. Step 6: Final answer
    x = 10,298.48

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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.