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Finding the Fourth Proportional to 10,502.36, 14,493.59 and 6,026.93

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Solution

The fourth proportional to 10,502.36, 14,493.59 and 6,026.93 is: 8,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.36 : 14,493.59 = 6,026.93 : x
  2. Step 2: Convert to fraction form
    10,502.36/14,493.59 = 6,026.93/x
  3. Step 3: Cross multiply
    10,502.36x = 14,493.59 × 6,026.93
  4. Step 4: Simplify right side
    10,502.36x = 87,351,822.24
  5. Step 5: Solve for x
    x = 87,351,822.24/10,502.36
  6. Step 6: Final answer
    x = 8,317.35

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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.