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Finding the Fourth Proportional to 11,502.48, 15,874.74 and 6,398.51

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Solution

The fourth proportional to 11,502.48, 15,874.74 and 6,398.51 is: 8,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.48 : 15,874.74 = 6,398.51 : x
  2. Step 2: Convert to fraction form
    11,502.48/15,874.74 = 6,398.51/x
  3. Step 3: Cross multiply
    11,502.48x = 15,874.74 × 6,398.51
  4. Step 4: Simplify right side
    11,502.48x = 101,574,603.26
  5. Step 5: Solve for x
    x = 101,574,603.26/11,502.48
  6. Step 6: Final answer
    x = 8,830.67

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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.