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Finding the Fourth Proportional to 10,513.89, 14,510.19 and 7,856.70

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Solution

The fourth proportional to 10,513.89, 14,510.19 and 7,856.70 is: 10,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.89 : 14,510.19 = 7,856.70 : x
  2. Step 2: Convert to fraction form
    10,513.89/14,510.19 = 7,856.70/x
  3. Step 3: Cross multiply
    10,513.89x = 14,510.19 × 7,856.70
  4. Step 4: Simplify right side
    10,513.89x = 114,002,209.77
  5. Step 5: Solve for x
    x = 114,002,209.77/10,513.89
  6. Step 6: Final answer
    x = 10,843.01

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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.