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Finding the Fourth Proportional to 10,512.51, 14,506.20 and 6,035.19

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Solution

The fourth proportional to 10,512.51, 14,506.20 and 6,035.19 is: 8,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.51 : 14,506.20 = 6,035.19 : x
  2. Step 2: Convert to fraction form
    10,512.51/14,506.20 = 6,035.19/x
  3. Step 3: Cross multiply
    10,512.51x = 14,506.20 × 6,035.19
  4. Step 4: Simplify right side
    10,512.51x = 87,547,673.18
  5. Step 5: Solve for x
    x = 87,547,673.18/10,512.51
  6. Step 6: Final answer
    x = 8,327.95

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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.